Threshold Analysis on Sanofi P3005 Data

Analysis notes

• Updated 4/23 with new weights, only included Stage 2 results, and harmonized y-axis
• Reference timepoint is fixed at 158 days for Stage 1, and 124 days for Stage 2, which is the minimum timepoint for the latest COVID-19 endpoint across both vaccine and placebo arms.
• Adjusted for standardized_risk_score.
• Showing estimates with pointwise confidence intervals. Both raw results and results assuming monotonicity are shown. For the VE scaled graphs, only included graphs assuming monotonicity.
• CIs for risk in graphs are bounded between 0 and 1. CIs for VE in graphs are bounded above by 1.

Stage 2

IgG Spike Index

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.32	2100	0.00522	0.00105	3.17e-03	0.00727
3.42	2650	0.00594	0.00134	3.32e-03	0.00855
3.52	3340	0.00594	0.00134	3.32e-03	0.00855
3.62	4200	0.00594	0.00134	3.32e-03	0.00855
3.72	5290	0.00599	0.00136	3.33e-03	0.00865
3.82	6660	0.00599	0.00136	3.33e-03	0.00866
3.92	8380	0.00600	0.00136	3.33e-03	0.00866
4.02	10500	0.00606	0.00139	3.34e-03	0.00878
4.12	13300	0.00606	0.00139	3.34e-03	0.00878
4.22	16700	0.00609	0.00138	3.39e-03	0.00880
4.32	21000	0.00609	0.00138	3.39e-03	0.00880
4.42	26500	0.00609	0.00138	3.39e-03	0.00879
4.52	33400	0.00619	0.00139	3.46e-03	0.00892
4.62	42000	0.00631	0.00143	3.51e-03	0.00911
4.72	52900	0.00633	0.00143	3.53e-03	0.00913
4.82	66600	0.00634	0.00144	3.53e-03	0.00916
4.92	83800	0.00679	0.00155	3.74e-03	0.00983
5.02	105000	0.00657	0.00153	3.57e-03	0.00957
5.12	133000	0.00669	0.00160	3.56e-03	0.00983
5.22	167000	0.00724	0.00180	3.72e-03	0.01080
5.32	210000	0.00641	0.00186	2.77e-03	0.01000
5.42	265000	0.00567	0.00193	1.89e-03	0.00946
5.52	334000	0.00588	0.00206	1.85e-03	0.00991
5.62	420000	0.00294	0.00145	9.26e-05	0.00578
5.72	529000	0.00243	0.00157	-6.56e-04	0.00551

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
3.32	2100	0.0000	0.00619	0.00105	4.14e-03	0.00824
3.42	2650	0.0117	0.00619	0.00134	3.57e-03	0.00881
3.52	3340	0.0117	0.00619	0.00134	3.57e-03	0.00881
3.62	4200	0.0117	0.00619	0.00134	3.57e-03	0.00881
3.72	5290	0.0175	0.00619	0.00136	3.53e-03	0.00885
3.82	6660	0.0180	0.00619	0.00136	3.52e-03	0.00885
3.92	8380	0.0186	0.00619	0.00136	3.52e-03	0.00885
4.02	10500	0.0244	0.00619	0.00139	3.47e-03	0.00891
4.12	13300	0.0244	0.00619	0.00139	3.47e-03	0.00891
4.22	16700	0.0371	0.00619	0.00138	3.48e-03	0.00889
4.32	21000	0.0371	0.00619	0.00138	3.48e-03	0.00889
4.42	26500	0.0377	0.00619	0.00138	3.49e-03	0.00889
4.52	33400	0.0542	0.00619	0.00139	3.46e-03	0.00892
4.62	42000	0.0738	0.00619	0.00143	3.39e-03	0.00898
4.72	52900	0.0802	0.00619	0.00143	3.38e-03	0.00899
4.82	66600	0.0818	0.00619	0.00144	3.37e-03	0.00900
4.92	83800	0.1550	0.00619	0.00155	3.14e-03	0.00923
5.02	105000	0.1700	0.00619	0.00153	3.19e-03	0.00919
5.12	133000	0.2090	0.00619	0.00160	3.05e-03	0.00933
5.22	167000	0.2660	0.00619	0.00180	2.67e-03	0.00971
5.32	210000	0.3650	0.00619	0.00186	2.55e-03	0.00983
5.42	265000	0.4840	0.00577	0.00193	1.99e-03	0.00955
5.52	334000	0.6300	0.00577	0.00206	1.74e-03	0.00980
5.62	420000	0.7200	0.00294	0.00145	9.26e-05	0.00578
5.72	529000	0.8660	0.00243	0.00157	-6.56e-04	0.00551

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.32	2100	0.314	0.157	0.00595	0.622
3.42	2650	0.314	0.182	-0.04310	0.671
3.52	3340	0.314	0.182	-0.04310	0.671
3.62	4200	0.314	0.182	-0.04310	0.671
3.72	5290	0.314	0.184	-0.04680	0.674
3.82	6660	0.314	0.184	-0.04720	0.675
3.92	8380	0.314	0.184	-0.04750	0.675
4.02	10500	0.314	0.187	-0.05240	0.680
4.12	13300	0.314	0.187	-0.05240	0.680
4.22	16700	0.314	0.186	-0.05100	0.679
4.32	21000	0.314	0.186	-0.05100	0.679
4.42	26500	0.314	0.186	-0.05080	0.678
4.52	33400	0.314	0.187	-0.05330	0.681
4.62	42000	0.314	0.190	-0.05940	0.687
4.72	52900	0.314	0.191	-0.06010	0.688
4.82	66600	0.314	0.191	-0.06090	0.689
4.92	83800	0.314	0.202	-0.08260	0.710
5.02	105000	0.314	0.200	-0.07830	0.706
5.12	133000	0.314	0.207	-0.09140	0.719
5.22	167000	0.314	0.226	-0.12800	0.756
5.32	210000	0.314	0.232	-0.14000	0.768
5.42	265000	0.360	0.236	-0.10200	0.822
5.52	334000	0.360	0.249	-0.12700	0.847
5.62	420000	0.674	0.169	0.34400	1.000
5.72	529000	0.731	0.179	0.37900	1.080

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.001390	0.006290	0.01170
2.5	317	0.00952	0.001960	0.005670	0.01340
2.6	399	0.00952	0.001960	0.005670	0.01340
2.7	503	0.00952	0.001960	0.005670	0.01340
2.8	633	0.00924	0.001930	0.005470	0.01300
2.9	796	0.00925	0.001930	0.005470	0.01300
3.0	1000	0.00932	0.001940	0.005510	0.01310
3.1	1260	0.00949	0.001980	0.005610	0.01340
3.2	1590	0.00894	0.001910	0.005200	0.01270
3.3	2000	0.00867	0.001870	0.004990	0.01230
3.4	2520	0.00833	0.001860	0.004690	0.01200
3.5	3170	0.00814	0.001840	0.004530	0.01180
3.6	3990	0.00822	0.001860	0.004570	0.01190
3.7	5030	0.00706	0.001700	0.003730	0.01040
3.8	6330	0.00660	0.001640	0.003380	0.00981
3.9	7960	0.00582	0.001580	0.002730	0.00891
4.0	10000	0.00597	0.001630	0.002780	0.00917
4.1	12600	0.00449	0.001410	0.001730	0.00725
4.2	15900	0.00416	0.001430	0.001350	0.00696
4.3	20000	0.00371	0.001340	0.001090	0.00633
4.4	25200	0.00314	0.001270	0.000653	0.00563
4.5	31700	0.00263	0.001140	0.000389	0.00486
4.6	39900	0.00284	0.001250	0.000383	0.00529
4.7	50300	0.00209	0.001160	-0.000188	0.00436
4.8	63300	0.00149	0.000941	-0.000357	0.00333

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.0000	0.00939	0.001390	0.006660	0.01210
2.5	317	0.0153	0.00939	0.001960	0.005540	0.01320
2.6	399	0.0153	0.00939	0.001960	0.005540	0.01320
2.7	503	0.0153	0.00939	0.001960	0.005540	0.01320
2.8	633	0.0161	0.00932	0.001930	0.005550	0.01310
2.9	796	0.0166	0.00932	0.001930	0.005550	0.01310
3.0	1000	0.0216	0.00932	0.001940	0.005520	0.01310
3.1	1260	0.0488	0.00932	0.001980	0.005440	0.01320
3.2	1590	0.0518	0.00894	0.001910	0.005200	0.01270
3.3	2000	0.0546	0.00867	0.001870	0.004990	0.01230
3.4	2520	0.0884	0.00833	0.001860	0.004690	0.01200
3.5	3170	0.1130	0.00818	0.001840	0.004570	0.01180
3.6	3990	0.1190	0.00818	0.001860	0.004530	0.01180
3.7	5030	0.1220	0.00706	0.001700	0.003730	0.01040
3.8	6330	0.1740	0.00660	0.001640	0.003380	0.00981
3.9	7960	0.2180	0.00590	0.001580	0.002800	0.00899
4.0	10000	0.2460	0.00590	0.001630	0.002700	0.00909
4.1	12600	0.3120	0.00449	0.001410	0.001730	0.00725
4.2	15900	0.3770	0.00416	0.001430	0.001350	0.00696
4.3	20000	0.4060	0.00371	0.001340	0.001090	0.00633
4.4	25200	0.4490	0.00314	0.001270	0.000653	0.00563
4.5	31700	0.4770	0.00273	0.001140	0.000494	0.00497
4.6	39900	0.5440	0.00273	0.001250	0.000277	0.00519
4.7	50300	0.5930	0.00209	0.001160	-0.000188	0.00436
4.8	63300	0.6110	0.00149	0.000941	-0.000357	0.00333

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.0300	0.093	0.00584	0.00131	0.003280	0.00841
-0.9320	0.117	0.00592	0.00133	0.003310	0.00852
-0.8320	0.147	0.00592	0.00133	0.003310	0.00852
-0.7320	0.186	0.00592	0.00133	0.003310	0.00852
-0.6320	0.234	0.00592	0.00133	0.003310	0.00852
-0.5320	0.294	0.00599	0.00136	0.003320	0.00866
-0.4320	0.370	0.00603	0.00138	0.003330	0.00874
-0.3320	0.466	0.00608	0.00137	0.003390	0.00876
-0.2320	0.587	0.00608	0.00137	0.003390	0.00876
-0.1320	0.739	0.00622	0.00141	0.003450	0.00899
-0.0315	0.930	0.00622	0.00141	0.003450	0.00899
0.0685	1.170	0.00605	0.00140	0.003300	0.00880
0.1680	1.470	0.00584	0.00137	0.003140	0.00853
0.2680	1.860	0.00597	0.00142	0.003190	0.00875
0.3680	2.340	0.00607	0.00145	0.003220	0.00891
0.4680	2.940	0.00616	0.00147	0.003270	0.00905
0.5680	3.700	0.00615	0.00152	0.003180	0.00913
0.6680	4.660	0.00683	0.00180	0.003310	0.01040
0.7680	5.870	0.00736	0.00206	0.003330	0.01140
0.8680	7.390	0.00758	0.00206	0.003550	0.01160
0.9680	9.300	0.00832	0.00224	0.003920	0.01270
1.0700	11.700	0.00790	0.00217	0.003650	0.01220
1.1700	14.700	0.00738	0.00207	0.003320	0.01140
1.2700	18.600	0.00953	0.00297	0.003710	0.01530
1.3700	23.400	0.00827	0.00257	0.003230	0.01330
1.4700	29.400	0.00821	0.00278	0.002760	0.01370
1.5700	37.000	0.00726	0.00264	0.002090	0.01240
1.6700	46.600	0.00694	0.00283	0.001380	0.01250
1.7700	58.700	0.00775	0.00340	0.001090	0.01440
1.8700	73.900	0.00791	0.00365	0.000755	0.01510
1.9700	93.000	0.00865	0.00413	0.000566	0.01670
2.0700	117.000	0.01160	0.00573	0.000404	0.02290
2.1700	147.000	0.01030	0.00749	-0.004340	0.02500

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.0300	0.093	0.00000	0.00662	0.00131	4.05e-03	0.00918
-0.9320	0.117	0.00692	0.00662	0.00133	4.01e-03	0.00922
-0.8320	0.147	0.00692	0.00662	0.00133	4.01e-03	0.00922
-0.7320	0.186	0.00692	0.00662	0.00133	4.01e-03	0.00922
-0.6320	0.234	0.00692	0.00662	0.00133	4.01e-03	0.00922
-0.5320	0.294	0.01380	0.00662	0.00136	3.95e-03	0.00929
-0.4320	0.370	0.01970	0.00662	0.00138	3.91e-03	0.00932
-0.3320	0.466	0.03510	0.00662	0.00137	3.93e-03	0.00930
-0.2320	0.587	0.03560	0.00662	0.00137	3.93e-03	0.00930
-0.1320	0.739	0.06170	0.00662	0.00141	3.84e-03	0.00939
-0.0315	0.930	0.06230	0.00662	0.00141	3.84e-03	0.00939
0.0685	1.170	0.08610	0.00662	0.00140	3.87e-03	0.00936
0.1680	1.470	0.09910	0.00662	0.00137	3.92e-03	0.00931
0.2680	1.860	0.11900	0.00662	0.00142	3.84e-03	0.00939
0.3680	2.340	0.13300	0.00662	0.00145	3.77e-03	0.00946
0.4680	2.940	0.15300	0.00662	0.00147	3.73e-03	0.00951
0.5680	3.700	0.19200	0.00662	0.00152	3.64e-03	0.00959
0.6680	4.660	0.24300	0.00662	0.00180	3.09e-03	0.01010
0.7680	5.870	0.28300	0.00662	0.00206	2.59e-03	0.01060
0.8680	7.390	0.32700	0.00662	0.00206	2.58e-03	0.01060
0.9680	9.300	0.34400	0.00662	0.00224	2.22e-03	0.01100
1.0700	11.700	0.35100	0.00662	0.00217	2.37e-03	0.01090
1.1700	14.700	0.40300	0.00662	0.00207	2.55e-03	0.01070
1.2700	18.600	0.47200	0.00662	0.00297	8.01e-04	0.01240
1.3700	23.400	0.50500	0.00662	0.00257	1.57e-03	0.01170
1.4700	29.400	0.59000	0.00662	0.00278	1.16e-03	0.01210
1.5700	37.000	0.61500	0.00662	0.00264	1.44e-03	0.01180
1.6700	46.600	0.65600	0.00662	0.00283	1.06e-03	0.01220
1.7700	58.700	0.71500	0.00662	0.00340	-5.07e-05	0.01330
1.8700	73.900	0.76200	0.00662	0.00365	-5.38e-04	0.01380
1.9700	93.000	0.79900	0.00662	0.00413	-1.47e-03	0.01470
2.0700	117.000	0.83000	0.00662	0.00573	-4.61e-03	0.01780
2.1700	147.000	0.90000	0.00662	0.00749	-8.06e-03	0.02130

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.0300	0.093	0.266	0.180	-0.0862	0.619
-0.9320	0.117	0.266	0.183	-0.0921	0.625
-0.8320	0.147	0.266	0.183	-0.0921	0.625
-0.7320	0.186	0.266	0.183	-0.0921	0.625
-0.6320	0.234	0.266	0.183	-0.0921	0.625
-0.5320	0.294	0.266	0.187	-0.1010	0.634
-0.4320	0.370	0.266	0.190	-0.1050	0.638
-0.3320	0.466	0.266	0.188	-0.1030	0.636
-0.2320	0.587	0.266	0.188	-0.1030	0.635
-0.1320	0.739	0.266	0.195	-0.1150	0.648
-0.0315	0.930	0.266	0.195	-0.1150	0.648
0.0685	1.170	0.266	0.193	-0.1110	0.644
0.1680	1.470	0.266	0.189	-0.1040	0.636
0.2680	1.860	0.266	0.195	-0.1160	0.648
0.3680	2.340	0.266	0.199	-0.1250	0.657
0.4680	2.940	0.266	0.203	-0.1310	0.664
0.5680	3.700	0.266	0.209	-0.1430	0.675
0.6680	4.660	0.266	0.247	-0.2180	0.751
0.7680	5.870	0.266	0.283	-0.2880	0.820
0.8680	7.390	0.266	0.283	-0.2880	0.821
0.9680	9.300	0.266	0.309	-0.3390	0.871
1.0700	11.700	0.266	0.298	-0.3180	0.851
1.1700	14.700	0.266	0.285	-0.2930	0.825
1.2700	18.600	0.266	0.408	-0.5330	1.070
1.3700	23.400	0.266	0.354	-0.4280	0.960
1.4700	29.400	0.266	0.383	-0.4840	1.020
1.5700	37.000	0.266	0.363	-0.4460	0.979
1.6700	46.600	0.266	0.390	-0.4970	1.030
1.7700	58.700	0.266	0.468	-0.6510	1.180
1.8700	73.900	0.266	0.502	-0.7180	1.250
1.9700	93.000	0.266	0.568	-0.8460	1.380
2.0700	117.000	0.266	0.788	-1.2800	1.810
2.1700	147.000	0.266	1.030	-1.7500	2.280

IgG Spike Beta

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.15	1400	0.00522	0.00105	0.003170	0.00727
3.25	1760	0.00594	0.00134	0.003320	0.00855
3.35	2210	0.00594	0.00134	0.003320	0.00855
3.45	2790	0.00594	0.00134	0.003320	0.00855
3.55	3510	0.00594	0.00134	0.003320	0.00855
3.65	4420	0.00599	0.00136	0.003330	0.00865
3.75	5560	0.00599	0.00136	0.003330	0.00866
3.85	7000	0.00599	0.00136	0.003330	0.00866
3.95	8810	0.00601	0.00136	0.003360	0.00867
4.05	11100	0.00610	0.00139	0.003370	0.00882
4.15	14000	0.00617	0.00142	0.003380	0.00896
4.25	17600	0.00626	0.00145	0.003420	0.00911
4.35	22100	0.00630	0.00145	0.003460	0.00915
4.45	27900	0.00630	0.00145	0.003470	0.00914
4.55	35100	0.00635	0.00143	0.003540	0.00916
4.65	44200	0.00643	0.00145	0.003590	0.00928
4.75	55600	0.00657	0.00149	0.003660	0.00949
4.85	70000	0.00708	0.00163	0.003890	0.01030
4.95	88100	0.00687	0.00161	0.003720	0.01000
5.05	111000	0.00706	0.00167	0.003790	0.01030
5.15	140000	0.00733	0.00183	0.003740	0.01090
5.25	176000	0.00603	0.00170	0.002700	0.00937
5.35	221000	0.00712	0.00217	0.002880	0.01140
5.45	279000	0.00523	0.00189	0.001520	0.00893
5.55	351000	0.00467	0.00221	0.000337	0.00900
5.65	442000	0.00211	0.00129	-0.000428	0.00464

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
3.15	1400	0.0000	0.00628	0.00105	0.004230	0.00833
3.25	1760	0.0117	0.00628	0.00134	0.003660	0.00889
3.35	2210	0.0117	0.00628	0.00134	0.003660	0.00889
3.45	2790	0.0117	0.00628	0.00134	0.003660	0.00889
3.55	3510	0.0117	0.00628	0.00134	0.003660	0.00889
3.65	4420	0.0175	0.00628	0.00136	0.003620	0.00893
3.75	5560	0.0180	0.00628	0.00136	0.003610	0.00894
3.85	7000	0.0180	0.00628	0.00136	0.003610	0.00894
3.95	8810	0.0255	0.00628	0.00136	0.003620	0.00894
4.05	11100	0.0324	0.00628	0.00139	0.003550	0.00900
4.15	14000	0.0393	0.00628	0.00142	0.003490	0.00906
4.25	17600	0.0515	0.00628	0.00145	0.003430	0.00912
4.35	22100	0.0637	0.00628	0.00145	0.003430	0.00912
4.45	27900	0.0648	0.00628	0.00145	0.003440	0.00912
4.55	35100	0.0865	0.00628	0.00143	0.003470	0.00909
4.65	44200	0.1050	0.00628	0.00145	0.003430	0.00912
4.75	55600	0.1310	0.00628	0.00149	0.003360	0.00919
4.85	70000	0.1770	0.00628	0.00163	0.003090	0.00947
4.95	88100	0.1910	0.00628	0.00161	0.003130	0.00942
5.05	111000	0.2110	0.00628	0.00167	0.003010	0.00955
5.15	140000	0.2690	0.00628	0.00183	0.002690	0.00987
5.25	176000	0.3230	0.00628	0.00170	0.002940	0.00961
5.35	221000	0.5070	0.00628	0.00217	0.002030	0.01050
5.45	279000	0.6150	0.00523	0.00189	0.001520	0.00893
5.55	351000	0.6950	0.00467	0.00221	0.000337	0.00900
5.65	442000	0.8090	0.00211	0.00129	-0.000428	0.00464

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.15	1400	0.304	0.158	-0.00589	0.614
3.25	1760	0.304	0.183	-0.05460	0.663
3.35	2210	0.304	0.183	-0.05460	0.663
3.45	2790	0.304	0.183	-0.05460	0.663
3.55	3510	0.304	0.183	-0.05460	0.663
3.65	4420	0.304	0.185	-0.05830	0.666
3.75	5560	0.304	0.185	-0.05870	0.667
3.85	7000	0.304	0.185	-0.05870	0.667
3.95	8810	0.304	0.185	-0.05840	0.666
4.05	11100	0.304	0.188	-0.06400	0.672
4.15	14000	0.304	0.191	-0.07010	0.678
4.25	17600	0.304	0.194	-0.07550	0.683
4.35	22100	0.304	0.193	-0.07510	0.683
4.45	27900	0.304	0.193	-0.07480	0.683
4.55	35100	0.304	0.192	-0.07220	0.680
4.65	44200	0.304	0.194	-0.07550	0.683
4.75	55600	0.304	0.197	-0.08200	0.690
4.85	70000	0.304	0.210	-0.10800	0.716
4.95	88100	0.304	0.208	-0.10400	0.712
5.05	111000	0.304	0.214	-0.11500	0.723
5.15	140000	0.304	0.230	-0.14600	0.754
5.25	176000	0.304	0.217	-0.12200	0.730
5.35	221000	0.304	0.263	-0.21200	0.820
5.45	279000	0.421	0.228	-0.02640	0.867
5.55	351000	0.482	0.258	-0.02270	0.988
5.65	442000	0.766	0.148	0.47700	1.060

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.00139	0.006290	0.01170
2.5	317	0.00918	0.00192	0.005420	0.01290
2.6	399	0.00918	0.00192	0.005420	0.01290
2.7	503	0.00918	0.00192	0.005420	0.01290
2.8	633	0.00918	0.00192	0.005420	0.01290
2.9	796	0.00918	0.00192	0.005430	0.01290
3.0	1000	0.00923	0.00194	0.005440	0.01300
3.1	1260	0.00894	0.00191	0.005200	0.01270
3.2	1590	0.00867	0.00187	0.005000	0.01230
3.3	2000	0.00784	0.00176	0.004380	0.01130
3.4	2520	0.00805	0.00182	0.004480	0.01160
3.5	3170	0.00755	0.00176	0.004100	0.01100
3.6	3990	0.00684	0.00167	0.003560	0.01010
3.7	5030	0.00717	0.00175	0.003730	0.01060
3.8	6330	0.00710	0.00178	0.003620	0.01060
3.9	7960	0.00488	0.00144	0.002060	0.00770
4.0	10000	0.00418	0.00135	0.001540	0.00682
4.1	12600	0.00464	0.00153	0.001650	0.00763
4.2	15900	0.00355	0.00135	0.000909	0.00620
4.3	20000	0.00318	0.00129	0.000657	0.00571
4.4	25200	0.00228	0.00110	0.000129	0.00443
4.5	31700	0.00185	0.00100	-0.000112	0.00381
4.6	39900	0.00196	0.00110	-0.000195	0.00411

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00000	0.00916	0.00139	6.43e-03	0.01190
2.5	317	0.00330	0.00916	0.00192	5.41e-03	0.01290
2.6	399	0.00330	0.00916	0.00192	5.41e-03	0.01290
2.7	503	0.00330	0.00916	0.00192	5.41e-03	0.01290
2.8	633	0.00330	0.00916	0.00192	5.41e-03	0.01290
2.9	796	0.00380	0.00916	0.00192	5.41e-03	0.01290
3.0	1000	0.00928	0.00916	0.00194	5.36e-03	0.01300
3.1	1260	0.04980	0.00894	0.00191	5.20e-03	0.01270
3.2	1590	0.05260	0.00867	0.00187	5.00e-03	0.01230
3.3	2000	0.06100	0.00794	0.00176	4.49e-03	0.01140
3.4	2520	0.09200	0.00794	0.00182	4.37e-03	0.01150
3.5	3170	0.10200	0.00755	0.00176	4.10e-03	0.01100
3.6	3990	0.14600	0.00704	0.00167	3.76e-03	0.01030
3.7	5030	0.18500	0.00704	0.00175	3.60e-03	0.01050
3.8	6330	0.20900	0.00704	0.00178	3.55e-03	0.01050
3.9	7960	0.23700	0.00488	0.00144	2.06e-03	0.00770
4.0	10000	0.32300	0.00440	0.00135	1.77e-03	0.00704
4.1	12600	0.41900	0.00440	0.00153	1.41e-03	0.00740
4.2	15900	0.44200	0.00355	0.00135	9.09e-04	0.00620
4.3	20000	0.45900	0.00318	0.00129	6.57e-04	0.00571
4.4	25200	0.49700	0.00228	0.00110	1.29e-04	0.00443
4.5	31700	0.54900	0.00190	0.00100	-5.75e-05	0.00386
4.6	39900	0.58700	0.00190	0.00110	-2.49e-04	0.00406

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.1500	0.0701	0.00584	0.00131	0.003280	0.00841
-1.0500	0.0882	0.00592	0.00133	0.003310	0.00852
-0.9550	0.1110	0.00592	0.00133	0.003310	0.00852
-0.8550	0.1400	0.00592	0.00133	0.003310	0.00852
-0.7550	0.1760	0.00592	0.00133	0.003310	0.00852
-0.6550	0.2220	0.00599	0.00136	0.003320	0.00866
-0.5550	0.2790	0.00599	0.00136	0.003320	0.00866
-0.4550	0.3510	0.00603	0.00138	0.003330	0.00874
-0.3550	0.4420	0.00606	0.00137	0.003380	0.00875
-0.2550	0.5560	0.00606	0.00137	0.003380	0.00875
-0.1550	0.7010	0.00612	0.00139	0.003400	0.00883
-0.0545	0.8820	0.00619	0.00140	0.003450	0.00894
0.0455	1.1100	0.00622	0.00140	0.003460	0.00897
0.1450	1.4000	0.00577	0.00136	0.003110	0.00842
0.2450	1.7600	0.00583	0.00137	0.003140	0.00852
0.3450	2.2200	0.00595	0.00141	0.003190	0.00871
0.4450	2.7900	0.00581	0.00141	0.003040	0.00858
0.5450	3.5100	0.00603	0.00147	0.003140	0.00892
0.6450	4.4200	0.00635	0.00157	0.003260	0.00943
0.7450	5.5600	0.00680	0.00177	0.003320	0.01030
0.8450	7.0100	0.00734	0.00196	0.003500	0.01120
0.9450	8.8200	0.00717	0.00198	0.003280	0.01110
1.0500	11.1000	0.00708	0.00205	0.003060	0.01110
1.1500	14.0000	0.00801	0.00232	0.003470	0.01260
1.2500	17.6000	0.00772	0.00227	0.003260	0.01220
1.3500	22.2000	0.00759	0.00231	0.003060	0.01210
1.4500	27.9000	0.00732	0.00244	0.002540	0.01210
1.5500	35.1000	0.00525	0.00208	0.001180	0.00932
1.6500	44.2000	0.00576	0.00230	0.001250	0.01030
1.7500	55.6000	0.00581	0.00277	0.000378	0.01120
1.8500	70.1000	0.00632	0.00351	-0.000559	0.01320
1.9500	88.2000	0.00711	0.00536	-0.003400	0.01760
2.0500	111.0000	0.00686	0.00543	-0.003780	0.01750
2.1500	140.0000	0.01220	0.00668	-0.000879	0.02530
2.2500	176.0000	0.01350	0.00763	-0.001490	0.02840

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.1500	0.0701	0.00000	0.00635	0.00131	0.003790	0.00892
-1.0500	0.0882	0.00692	0.00635	0.00133	0.003750	0.00896
-0.9550	0.1110	0.00692	0.00635	0.00133	0.003750	0.00896
-0.8550	0.1400	0.00692	0.00635	0.00133	0.003750	0.00896
-0.7550	0.1760	0.00692	0.00635	0.00133	0.003750	0.00896
-0.6550	0.2220	0.01380	0.00635	0.00136	0.003680	0.00902
-0.5550	0.2790	0.01380	0.00635	0.00136	0.003680	0.00902
-0.4550	0.3510	0.01970	0.00635	0.00138	0.003650	0.00906
-0.3550	0.4420	0.02920	0.00635	0.00137	0.003670	0.00904
-0.2550	0.5560	0.02920	0.00635	0.00137	0.003670	0.00904
-0.1550	0.7010	0.04110	0.00635	0.00139	0.003640	0.00907
-0.0545	0.8820	0.06810	0.00635	0.00140	0.003610	0.00910
0.0455	1.1100	0.07450	0.00635	0.00140	0.003600	0.00911
0.1450	1.4000	0.08760	0.00635	0.00136	0.003700	0.00901
0.2450	1.7600	0.09930	0.00635	0.00137	0.003660	0.00904
0.3450	2.2200	0.12100	0.00635	0.00141	0.003590	0.00912
0.4450	2.7900	0.14900	0.00635	0.00141	0.003580	0.00912
0.5450	3.5100	0.18000	0.00635	0.00147	0.003460	0.00924
0.6450	4.4200	0.22700	0.00635	0.00157	0.003270	0.00944
0.7450	5.5600	0.25000	0.00635	0.00177	0.002880	0.00983
0.8450	7.0100	0.31100	0.00635	0.00196	0.002510	0.01020
0.9450	8.8200	0.32100	0.00635	0.00198	0.002460	0.01020
1.0500	11.1000	0.34800	0.00635	0.00205	0.002330	0.01040
1.1500	14.0000	0.38400	0.00635	0.00232	0.001810	0.01090
1.2500	17.6000	0.39400	0.00635	0.00227	0.001900	0.01080
1.3500	22.2000	0.48200	0.00635	0.00231	0.001820	0.01090
1.4500	27.9000	0.55700	0.00635	0.00244	0.001570	0.01110
1.5500	35.1000	0.57300	0.00635	0.00208	0.002280	0.01040
1.6500	44.2000	0.62200	0.00635	0.00230	0.001840	0.01090
1.7500	55.6000	0.68800	0.00635	0.00277	0.000922	0.01180
1.8500	70.1000	0.75200	0.00635	0.00351	-0.000523	0.01320
1.9500	88.2000	0.78700	0.00635	0.00536	-0.004160	0.01690
2.0500	111.0000	0.84500	0.00635	0.00543	-0.004280	0.01700
2.1500	140.0000	0.89200	0.00635	0.00668	-0.006740	0.01940
2.2500	176.0000	0.91300	0.00635	0.00763	-0.008600	0.02130

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.1500	0.0701	0.295	0.177	-0.0523	0.643
-1.0500	0.0882	0.295	0.180	-0.0581	0.649
-0.9550	0.1110	0.295	0.180	-0.0581	0.649
-0.8550	0.1400	0.295	0.180	-0.0581	0.649
-0.7550	0.1760	0.295	0.180	-0.0581	0.649
-0.6550	0.2220	0.295	0.185	-0.0669	0.658
-0.5550	0.2790	0.295	0.185	-0.0669	0.658
-0.4550	0.3510	0.295	0.187	-0.0711	0.662
-0.3550	0.4420	0.295	0.186	-0.0688	0.660
-0.2550	0.5560	0.295	0.186	-0.0688	0.660
-0.1550	0.7010	0.295	0.188	-0.0730	0.664
-0.0545	0.8820	0.295	0.190	-0.0767	0.667
0.0455	1.1100	0.295	0.191	-0.0781	0.669
0.1450	1.4000	0.295	0.184	-0.0652	0.656
0.2450	1.7600	0.295	0.186	-0.0696	0.660
0.3450	2.2200	0.295	0.191	-0.0794	0.670
0.4450	2.7900	0.295	0.192	-0.0803	0.671
0.5450	3.5100	0.295	0.200	-0.0967	0.687
0.6450	4.4200	0.295	0.214	-0.1230	0.714
0.7450	5.5600	0.295	0.240	-0.1760	0.766
0.8450	7.0100	0.295	0.266	-0.2260	0.817
0.9450	8.8200	0.295	0.269	-0.2320	0.823
1.0500	11.1000	0.295	0.279	-0.2510	0.842
1.1500	14.0000	0.295	0.315	-0.3210	0.912
1.2500	17.6000	0.295	0.308	-0.3090	0.900
1.3500	22.2000	0.295	0.314	-0.3190	0.910
1.4500	27.9000	0.295	0.331	-0.3540	0.945
1.5500	35.1000	0.295	0.282	-0.2570	0.848
1.6500	44.2000	0.295	0.312	-0.3170	0.907
1.7500	55.6000	0.295	0.376	-0.4420	1.030
1.8500	70.1000	0.295	0.476	-0.6380	1.230
1.9500	88.2000	0.295	0.727	-1.1300	1.720
2.0500	111.0000	0.295	0.736	-1.1500	1.740
2.1500	140.0000	0.295	0.906	-1.4800	2.070
2.2500	176.0000	0.295	1.030	-1.7300	2.320

IgG Spike Alpha

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.31	2040	0.00522	0.00105	0.003170	0.00727
3.41	2570	0.00594	0.00134	0.003320	0.00855
3.51	3230	0.00594	0.00134	0.003320	0.00855
3.61	4070	0.00594	0.00134	0.003320	0.00855
3.71	5120	0.00599	0.00136	0.003330	0.00865
3.81	6440	0.00599	0.00136	0.003330	0.00866
3.91	8110	0.00600	0.00136	0.003330	0.00866
4.01	10200	0.00600	0.00136	0.003330	0.00866
4.11	12900	0.00607	0.00138	0.003370	0.00878
4.21	16200	0.00609	0.00138	0.003390	0.00880
4.31	20400	0.00613	0.00139	0.003410	0.00886
4.41	25700	0.00621	0.00142	0.003420	0.00899
4.51	32300	0.00631	0.00143	0.003510	0.00911
4.61	40700	0.00634	0.00143	0.003530	0.00914
4.71	51200	0.00634	0.00143	0.003530	0.00916
4.81	64400	0.00661	0.00150	0.003670	0.00955
4.91	81100	0.00657	0.00153	0.003570	0.00957
5.01	102000	0.00688	0.00161	0.003720	0.01000
5.11	129000	0.00691	0.00168	0.003620	0.01020
5.21	162000	0.00661	0.00177	0.003130	0.01010
5.31	204000	0.00599	0.00175	0.002550	0.00943
5.41	257000	0.00475	0.00165	0.001530	0.00798
5.51	323000	0.00609	0.00235	0.001470	0.01070
5.61	407000	0.00262	0.00143	-0.000189	0.00543

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
3.31	2040	0.0000	0.00619	0.00105	0.004140	0.00824
3.41	2570	0.0117	0.00619	0.00134	0.003570	0.00881
3.51	3230	0.0117	0.00619	0.00134	0.003570	0.00881
3.61	4070	0.0117	0.00619	0.00134	0.003570	0.00881
3.71	5120	0.0175	0.00619	0.00136	0.003530	0.00885
3.81	6440	0.0180	0.00619	0.00136	0.003530	0.00885
3.91	8110	0.0186	0.00619	0.00136	0.003520	0.00886
4.01	10200	0.0186	0.00619	0.00136	0.003520	0.00886
4.11	12900	0.0302	0.00619	0.00138	0.003480	0.00890
4.21	16200	0.0371	0.00619	0.00138	0.003480	0.00889
4.31	20400	0.0404	0.00619	0.00139	0.003460	0.00892
4.41	25700	0.0468	0.00619	0.00142	0.003400	0.00898
4.51	32300	0.0744	0.00619	0.00143	0.003390	0.00898
4.61	40700	0.0813	0.00619	0.00143	0.003380	0.00900
4.71	51200	0.0823	0.00619	0.00143	0.003380	0.00900
4.81	64400	0.1330	0.00619	0.00150	0.003250	0.00913
4.91	81100	0.1700	0.00619	0.00153	0.003190	0.00919
5.01	102000	0.1870	0.00619	0.00161	0.003020	0.00935
5.11	129000	0.2340	0.00619	0.00168	0.002900	0.00948
5.21	162000	0.3110	0.00619	0.00177	0.002710	0.00967
5.31	204000	0.3850	0.00599	0.00175	0.002550	0.00943
5.41	257000	0.5450	0.00537	0.00165	0.002150	0.00860
5.51	323000	0.6820	0.00537	0.00235	0.000760	0.00999
5.61	407000	0.7650	0.00262	0.00143	-0.000189	0.00543

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.31	2040	0.314	0.157	0.00583	0.622
3.41	2570	0.314	0.182	-0.04320	0.671
3.51	3230	0.314	0.182	-0.04320	0.671
3.61	4070	0.314	0.182	-0.04320	0.671
3.71	5120	0.314	0.184	-0.04690	0.674
3.81	6440	0.314	0.184	-0.04730	0.675
3.91	8110	0.314	0.184	-0.04760	0.675
4.01	10200	0.314	0.184	-0.04760	0.675
4.11	12900	0.314	0.186	-0.05130	0.679
4.21	16200	0.314	0.186	-0.05110	0.679
4.31	20400	0.314	0.187	-0.05320	0.681
4.41	25700	0.314	0.190	-0.05870	0.686
4.51	32300	0.314	0.190	-0.05950	0.687
4.61	40700	0.314	0.191	-0.06050	0.688
4.71	51200	0.314	0.191	-0.06090	0.688
4.81	64400	0.314	0.197	-0.07280	0.700
4.91	81100	0.314	0.200	-0.07830	0.706
5.01	102000	0.314	0.208	-0.09400	0.721
5.11	129000	0.314	0.214	-0.10600	0.734
5.21	162000	0.314	0.224	-0.12400	0.752
5.31	204000	0.335	0.220	-0.09560	0.767
5.41	257000	0.404	0.204	0.00359	0.805
5.51	323000	0.404	0.277	-0.13800	0.947
5.61	407000	0.710	0.165	0.38600	1.030

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.001390	0.006290	0.01170
2.5	317	0.00924	0.001930	0.005470	0.01300
2.6	399	0.00924	0.001930	0.005470	0.01300
2.7	503	0.00924	0.001930	0.005470	0.01300
2.8	633	0.00924	0.001930	0.005470	0.01300
2.9	796	0.00924	0.001930	0.005470	0.01300
3.0	1000	0.00930	0.001940	0.005500	0.01310
3.1	1260	0.00949	0.001980	0.005610	0.01340
3.2	1590	0.00920	0.001940	0.005400	0.01300
3.3	2000	0.00894	0.001910	0.005200	0.01270
3.4	2520	0.00842	0.001840	0.004810	0.01200
3.5	3170	0.00794	0.001790	0.004430	0.01150
3.6	3990	0.00789	0.001810	0.004330	0.01140
3.7	5030	0.00713	0.001710	0.003770	0.01050
3.8	6330	0.00683	0.001700	0.003500	0.01020
3.9	7960	0.00637	0.001650	0.003130	0.00961
4.0	10000	0.00622	0.001710	0.002860	0.00958
4.1	12600	0.00425	0.001430	0.001440	0.00706
4.2	15900	0.00424	0.001460	0.001370	0.00711
4.3	20000	0.00311	0.001250	0.000656	0.00557
4.4	25200	0.00257	0.001110	0.000396	0.00474
4.5	31700	0.00281	0.001240	0.000375	0.00524
4.6	39900	0.00244	0.001190	0.000113	0.00477
4.7	50300	0.00147	0.000944	-0.000377	0.00332

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.0000	0.00925	0.001390	0.006520	0.01200
2.5	317	0.0151	0.00925	0.001930	0.005480	0.01300
2.6	399	0.0151	0.00925	0.001930	0.005480	0.01300
2.7	503	0.0151	0.00925	0.001930	0.005480	0.01300
2.8	633	0.0156	0.00925	0.001930	0.005470	0.01300
2.9	796	0.0156	0.00925	0.001930	0.005470	0.01300
3.0	1000	0.0206	0.00925	0.001940	0.005450	0.01310
3.1	1260	0.0488	0.00925	0.001980	0.005370	0.01310
3.2	1590	0.0491	0.00920	0.001940	0.005400	0.01300
3.3	2000	0.0524	0.00894	0.001910	0.005200	0.01270
3.4	2520	0.0604	0.00842	0.001840	0.004810	0.01200
3.5	3170	0.0854	0.00794	0.001790	0.004430	0.01150
3.6	3990	0.1170	0.00789	0.001810	0.004330	0.01140
3.7	5030	0.1460	0.00713	0.001710	0.003770	0.01050
3.8	6330	0.1870	0.00683	0.001700	0.003500	0.01020
3.9	7960	0.1980	0.00637	0.001650	0.003130	0.00961
4.0	10000	0.2730	0.00622	0.001710	0.002860	0.00958
4.1	12600	0.2980	0.00425	0.001430	0.001440	0.00706
4.2	15900	0.3970	0.00424	0.001460	0.001370	0.00711
4.3	20000	0.4410	0.00311	0.001250	0.000656	0.00557
4.4	25200	0.4630	0.00269	0.001110	0.000515	0.00486
4.5	31700	0.5350	0.00269	0.001240	0.000256	0.00512
4.6	39900	0.5530	0.00244	0.001190	0.000113	0.00477
4.7	50300	0.6200	0.00147	0.000944	-0.000377	0.00332

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.1200	0.0757	0.00584	0.00131	3.28e-03	0.00841
-1.0200	0.0953	0.00586	0.00131	3.29e-03	0.00843
-0.9210	0.1200	0.00592	0.00133	3.31e-03	0.00852
-0.8210	0.1510	0.00592	0.00133	3.31e-03	0.00852
-0.7210	0.1900	0.00592	0.00133	3.31e-03	0.00852
-0.6210	0.2390	0.00593	0.00134	3.31e-03	0.00855
-0.5210	0.3010	0.00599	0.00136	3.32e-03	0.00866
-0.4210	0.3790	0.00603	0.00138	3.33e-03	0.00874
-0.3210	0.4780	0.00606	0.00137	3.38e-03	0.00875
-0.2210	0.6010	0.00613	0.00139	3.42e-03	0.00885
-0.1210	0.7570	0.00613	0.00139	3.42e-03	0.00885
-0.0209	0.9530	0.00592	0.00136	3.25e-03	0.00858
0.0791	1.2000	0.00602	0.00138	3.30e-03	0.00873
0.1790	1.5100	0.00584	0.00138	3.15e-03	0.00854
0.2790	1.9000	0.00593	0.00140	3.19e-03	0.00867
0.3790	2.3900	0.00612	0.00147	3.25e-03	0.00900
0.4790	3.0100	0.00613	0.00152	3.15e-03	0.00910
0.5790	3.7900	0.00587	0.00148	2.97e-03	0.00876
0.6790	4.7800	0.00696	0.00185	3.34e-03	0.01060
0.7790	6.0100	0.00733	0.00197	3.46e-03	0.01120
0.8790	7.5700	0.00769	0.00210	3.57e-03	0.01180
0.9790	9.5300	0.00770	0.00210	3.58e-03	0.01180
1.0800	12.0000	0.00833	0.00234	3.75e-03	0.01290
1.1800	15.1000	0.00856	0.00252	3.61e-03	0.01350
1.2800	19.0000	0.00883	0.00264	3.65e-03	0.01400
1.3800	23.9000	0.00675	0.00253	1.80e-03	0.01170
1.4800	30.1000	0.00654	0.00244	1.74e-03	0.01130
1.5800	37.9000	0.00631	0.00252	1.36e-03	0.01130
1.6800	47.8000	0.00576	0.00294	-6.90e-06	0.01150
1.7800	60.1000	0.00534	0.00312	-7.68e-04	0.01150
1.8800	75.7000	0.00680	0.00403	-1.10e-03	0.01470
1.9800	95.3000	0.01200	0.00607	8.69e-05	0.02390
2.0800	120.0000	0.01880	0.01040	-1.59e-03	0.03910

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.1200	0.0757	0.00000	0.00646	0.00131	0.003900	0.00902
-1.0200	0.0953	0.00109	0.00646	0.00131	0.003890	0.00903
-0.9210	0.1200	0.00692	0.00646	0.00133	0.003850	0.00907
-0.8210	0.1510	0.00692	0.00646	0.00133	0.003850	0.00907
-0.7210	0.1900	0.00692	0.00646	0.00133	0.003850	0.00907
-0.6210	0.2390	0.00802	0.00646	0.00134	0.003840	0.00908
-0.5210	0.3010	0.01380	0.00646	0.00136	0.003790	0.00913
-0.4210	0.3790	0.01970	0.00646	0.00138	0.003760	0.00916
-0.3210	0.4780	0.02920	0.00646	0.00137	0.003780	0.00914
-0.2210	0.6010	0.04640	0.00646	0.00139	0.003740	0.00918
-0.1210	0.7570	0.04690	0.00646	0.00139	0.003740	0.00918
-0.0209	0.9530	0.06250	0.00646	0.00136	0.003800	0.00912
0.0791	1.2000	0.08720	0.00646	0.00138	0.003750	0.00917
0.1790	1.5100	0.10000	0.00646	0.00138	0.003760	0.00916
0.2790	1.9000	0.11900	0.00646	0.00140	0.003720	0.00920
0.3790	2.3900	0.14500	0.00646	0.00147	0.003590	0.00933
0.4790	3.0100	0.18000	0.00646	0.00152	0.003480	0.00944
0.5790	3.7900	0.19300	0.00646	0.00148	0.003560	0.00936
0.6790	4.7800	0.25400	0.00646	0.00185	0.002840	0.01010
0.7790	6.0100	0.30000	0.00646	0.00197	0.002600	0.01030
0.8790	7.5700	0.33900	0.00646	0.00210	0.002350	0.01060
0.9790	9.5300	0.34000	0.00646	0.00210	0.002340	0.01060
1.0800	12.0000	0.38200	0.00646	0.00234	0.001880	0.01100
1.1800	15.1000	0.44200	0.00646	0.00252	0.001510	0.01140
1.2800	19.0000	0.50300	0.00646	0.00264	0.001280	0.01160
1.3800	23.9000	0.58000	0.00646	0.00253	0.001510	0.01140
1.4800	30.1000	0.61400	0.00646	0.00244	0.001670	0.01130
1.5800	37.9000	0.63800	0.00646	0.00252	0.001510	0.01140
1.6800	47.8000	0.69100	0.00646	0.00294	0.000694	0.01220
1.7800	60.1000	0.76500	0.00646	0.00312	0.000349	0.01260
1.8800	75.7000	0.80100	0.00646	0.00403	-0.001440	0.01440
1.9800	95.3000	0.83200	0.00646	0.00607	-0.005440	0.01840
2.0800	120.0000	0.88400	0.00646	0.01040	-0.013900	0.02680

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.1200	0.0757	0.284	0.178	-0.0661	0.633
-1.0200	0.0953	0.284	0.179	-0.0670	0.634
-0.9210	0.1200	0.284	0.181	-0.0719	0.639
-0.8210	0.1510	0.284	0.181	-0.0719	0.639
-0.7210	0.1900	0.284	0.181	-0.0719	0.639
-0.6210	0.2390	0.284	0.182	-0.0737	0.641
-0.5210	0.3010	0.284	0.186	-0.0808	0.648
-0.4210	0.3790	0.284	0.188	-0.0850	0.652
-0.3210	0.4780	0.284	0.187	-0.0827	0.650
-0.2210	0.6010	0.284	0.189	-0.0871	0.654
-0.1210	0.7570	0.284	0.189	-0.0870	0.654
-0.0209	0.9530	0.284	0.185	-0.0794	0.647
0.0791	1.2000	0.284	0.189	-0.0867	0.654
0.1790	1.5100	0.284	0.188	-0.0842	0.651
0.2790	1.9000	0.284	0.191	-0.0902	0.657
0.3790	2.3900	0.284	0.200	-0.1080	0.676
0.4790	3.0100	0.284	0.207	-0.1220	0.689
0.5790	3.7900	0.284	0.202	-0.1120	0.679
0.6790	4.7800	0.284	0.252	-0.2100	0.778
0.7790	6.0100	0.284	0.269	-0.2440	0.811
0.8790	7.5700	0.284	0.286	-0.2780	0.845
0.9790	9.5300	0.284	0.287	-0.2790	0.846
1.0800	12.0000	0.284	0.319	-0.3420	0.909
1.1800	15.1000	0.284	0.344	-0.3910	0.959
1.2800	19.0000	0.284	0.361	-0.4230	0.990
1.3800	23.9000	0.284	0.345	-0.3920	0.959
1.4800	30.1000	0.284	0.334	-0.3700	0.937
1.5800	37.9000	0.284	0.344	-0.3910	0.959
1.6800	47.8000	0.284	0.401	-0.5030	1.070
1.7800	60.1000	0.284	0.425	-0.5500	1.120
1.8800	75.7000	0.284	0.550	-0.7940	1.360
1.9800	95.3000	0.284	0.828	-1.3400	1.910
2.0800	120.0000	0.284	1.420	-2.4900	3.060

IgG Spike Gamma

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.18	1500	0.00522	0.00105	0.003170	0.00727
3.28	1890	0.00594	0.00134	0.003320	0.00855
3.38	2380	0.00594	0.00134	0.003320	0.00855
3.48	3000	0.00594	0.00134	0.003320	0.00855
3.58	3780	0.00599	0.00136	0.003330	0.00865
3.68	4750	0.00599	0.00136	0.003330	0.00866
3.78	5980	0.00600	0.00136	0.003330	0.00866
3.88	7530	0.00606	0.00139	0.003340	0.00878
3.98	9480	0.00608	0.00138	0.003370	0.00878
4.08	11900	0.00611	0.00139	0.003390	0.00883
4.18	15000	0.00611	0.00139	0.003390	0.00883
4.28	18900	0.00619	0.00142	0.003410	0.00898
4.38	23800	0.00630	0.00145	0.003460	0.00914
4.48	30000	0.00631	0.00143	0.003510	0.00911
4.58	37800	0.00633	0.00143	0.003530	0.00913
4.68	47500	0.00634	0.00143	0.003530	0.00916
4.78	59800	0.00680	0.00156	0.003740	0.00986
4.88	75300	0.00677	0.00158	0.003670	0.00987
4.98	94800	0.00700	0.00165	0.003770	0.01020
5.08	119000	0.00726	0.00182	0.003690	0.01080
5.18	150000	0.00626	0.00172	0.002900	0.00963
5.28	189000	0.00542	0.00173	0.002030	0.00881
5.38	238000	0.00485	0.00180	0.001310	0.00838
5.48	300000	0.00569	0.00234	0.001100	0.01030
5.58	378000	0.00265	0.00141	-0.000118	0.00543

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
3.18	1500	0.0000	0.00622	0.00105	0.004170	0.00827
3.28	1890	0.0117	0.00622	0.00134	0.003600	0.00884
3.38	2380	0.0117	0.00622	0.00134	0.003600	0.00884
3.48	3000	0.0117	0.00622	0.00134	0.003600	0.00884
3.58	3780	0.0175	0.00622	0.00136	0.003560	0.00888
3.68	4750	0.0180	0.00622	0.00136	0.003560	0.00888
3.78	5980	0.0186	0.00622	0.00136	0.003550	0.00889
3.88	7530	0.0249	0.00622	0.00139	0.003500	0.00894
3.98	9480	0.0313	0.00622	0.00138	0.003510	0.00893
4.08	11900	0.0382	0.00622	0.00139	0.003500	0.00894
4.18	15000	0.0382	0.00622	0.00139	0.003500	0.00894
4.28	18900	0.0457	0.00622	0.00142	0.003440	0.00900
4.38	23800	0.0643	0.00622	0.00145	0.003380	0.00906
4.48	30000	0.0744	0.00622	0.00143	0.003420	0.00902
4.58	37800	0.0807	0.00622	0.00143	0.003420	0.00902
4.68	47500	0.0818	0.00622	0.00143	0.003410	0.00903
4.78	59800	0.1260	0.00622	0.00156	0.003160	0.00928
4.88	75300	0.1710	0.00622	0.00158	0.003120	0.00932
4.98	94800	0.2020	0.00622	0.00165	0.002980	0.00946
5.08	119000	0.2580	0.00622	0.00182	0.002650	0.00979
5.18	150000	0.3050	0.00622	0.00172	0.002850	0.00958
5.28	189000	0.4690	0.00542	0.00173	0.002030	0.00881
5.38	238000	0.5950	0.00485	0.00180	0.001310	0.00838
5.48	300000	0.6900	0.00485	0.00234	0.000256	0.00944
5.58	378000	0.7810	0.00265	0.00141	-0.000118	0.00543

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.18	1500	0.310	0.157	0.0017	0.619
3.28	1890	0.310	0.182	-0.0472	0.668
3.38	2380	0.310	0.182	-0.0472	0.668
3.48	3000	0.310	0.182	-0.0472	0.668
3.58	3780	0.310	0.184	-0.0509	0.672
3.68	4750	0.310	0.185	-0.0513	0.672
3.78	5980	0.310	0.185	-0.0517	0.672
3.88	7530	0.310	0.187	-0.0564	0.677
3.98	9480	0.310	0.187	-0.0553	0.676
4.08	11900	0.310	0.187	-0.0563	0.677
4.18	15000	0.310	0.187	-0.0563	0.677
4.28	18900	0.310	0.190	-0.0623	0.683
4.38	23800	0.310	0.193	-0.0673	0.688
4.48	30000	0.310	0.191	-0.0635	0.684
4.58	37800	0.310	0.191	-0.0642	0.685
4.68	47500	0.310	0.191	-0.0649	0.686
4.78	59800	0.310	0.203	-0.0882	0.709
4.88	75300	0.310	0.205	-0.0917	0.712
4.98	94800	0.310	0.212	-0.1050	0.725
5.08	119000	0.310	0.228	-0.1370	0.758
5.18	150000	0.310	0.218	-0.1170	0.738
5.28	189000	0.399	0.213	-0.0191	0.816
5.38	238000	0.463	0.216	0.0384	0.887
5.48	300000	0.463	0.273	-0.0719	0.997
5.58	378000	0.706	0.163	0.3850	1.030

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.00139	0.006290	0.01170
2.5	317	0.00920	0.00192	0.005440	0.01300
2.6	399	0.00920	0.00192	0.005440	0.01300
2.7	503	0.00920	0.00192	0.005440	0.01300
2.8	633	0.00932	0.00194	0.005510	0.01310
2.9	796	0.00921	0.00194	0.005400	0.01300
3.0	1000	0.00923	0.00195	0.005410	0.01300
3.1	1260	0.00895	0.00191	0.005200	0.01270
3.2	1590	0.00861	0.00189	0.004900	0.01230
3.3	2000	0.00832	0.00185	0.004690	0.01200
3.4	2520	0.00846	0.00189	0.004750	0.01220
3.5	3170	0.00795	0.00182	0.004380	0.01150
3.6	3990	0.00652	0.00162	0.003340	0.00971
3.7	5030	0.00649	0.00169	0.003190	0.00979
3.8	6330	0.00632	0.00169	0.003010	0.00963
3.9	7960	0.00565	0.00159	0.002530	0.00876
4.0	10000	0.00420	0.00141	0.001440	0.00695
4.1	12600	0.00427	0.00147	0.001390	0.00715
4.2	15900	0.00357	0.00137	0.000888	0.00624
4.3	20000	0.00332	0.00137	0.000628	0.00601
4.4	25200	0.00285	0.00130	0.000307	0.00539
4.5	31700	0.00189	0.00104	-0.000143	0.00392
4.6	39900	0.00194	0.00105	-0.000124	0.00401

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.0000	0.00919	0.00139	0.006470	0.01190
2.5	317	0.0043	0.00919	0.00192	0.005430	0.01300
2.6	399	0.0043	0.00919	0.00192	0.005430	0.01300
2.7	503	0.0043	0.00919	0.00192	0.005430	0.01300
2.8	633	0.0211	0.00919	0.00194	0.005390	0.01300
2.9	796	0.0496	0.00919	0.00194	0.005380	0.01300
3.0	1000	0.0511	0.00919	0.00195	0.005370	0.01300
3.1	1260	0.0548	0.00895	0.00191	0.005200	0.01270
3.2	1590	0.0861	0.00861	0.00189	0.004900	0.01230
3.3	2000	0.0899	0.00839	0.00185	0.004760	0.01200
3.4	2520	0.1150	0.00839	0.00189	0.004690	0.01210
3.5	3170	0.1390	0.00795	0.00182	0.004380	0.01150
3.6	3990	0.1550	0.00652	0.00162	0.003340	0.00971
3.7	5030	0.2160	0.00649	0.00169	0.003190	0.00979
3.8	6330	0.2580	0.00632	0.00169	0.003010	0.00963
3.9	7960	0.2680	0.00565	0.00159	0.002530	0.00876
4.0	10000	0.3420	0.00423	0.00141	0.001480	0.00699
4.1	12600	0.4220	0.00423	0.00147	0.001350	0.00711
4.2	15900	0.4570	0.00357	0.00137	0.000888	0.00624
4.3	20000	0.4860	0.00332	0.00137	0.000628	0.00601
4.4	25200	0.5130	0.00285	0.00130	0.000307	0.00539
4.5	31700	0.5700	0.00192	0.00104	-0.000117	0.00395
4.6	39900	0.5960	0.00192	0.00105	-0.000150	0.00398

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.0500	0.0884	0.00584	0.00131	0.003280	0.00841
-0.9540	0.1110	0.00592	0.00133	0.003310	0.00852
-0.8540	0.1400	0.00592	0.00133	0.003310	0.00852
-0.7540	0.1760	0.00592	0.00133	0.003310	0.00852
-0.6540	0.2220	0.00593	0.00134	0.003310	0.00855
-0.5540	0.2800	0.00603	0.00138	0.003330	0.00874
-0.4540	0.3520	0.00604	0.00138	0.003340	0.00874
-0.3540	0.4430	0.00604	0.00138	0.003340	0.00874
-0.2540	0.5580	0.00608	0.00137	0.003390	0.00876
-0.1540	0.7020	0.00613	0.00139	0.003420	0.00885
-0.0535	0.8840	0.00620	0.00140	0.003450	0.00894
0.0465	1.1100	0.00597	0.00138	0.003270	0.00867
0.1460	1.4000	0.00600	0.00138	0.003290	0.00870
0.2460	1.7600	0.00584	0.00138	0.003140	0.00853
0.3460	2.2200	0.00600	0.00143	0.003200	0.00879
0.4460	2.8000	0.00601	0.00143	0.003210	0.00881
0.5460	3.5200	0.00627	0.00151	0.003320	0.00922
0.6460	4.4300	0.00593	0.00150	0.002980	0.00887
0.7460	5.5800	0.00719	0.00196	0.003350	0.01100
0.8460	7.0200	0.00753	0.00209	0.003440	0.01160
0.9460	8.8400	0.00782	0.00217	0.003560	0.01210
1.0500	11.1000	0.00782	0.00217	0.003570	0.01210
1.1500	14.0000	0.00823	0.00227	0.003780	0.01270
1.2500	17.6000	0.00716	0.00205	0.003140	0.01120
1.3500	22.2000	0.00748	0.00228	0.003010	0.01200
1.4500	28.0000	0.00714	0.00232	0.002590	0.01170
1.5500	35.2000	0.00650	0.00233	0.001940	0.01110
1.6500	44.3000	0.00618	0.00247	0.001330	0.01100
1.7500	55.8000	0.00558	0.00276	0.000165	0.01100
1.8500	70.2000	0.00547	0.00301	-0.000422	0.01140
1.9500	88.4000	0.00500	0.00344	-0.001730	0.01170
2.0500	111.0000	0.00697	0.00354	0.000031	0.01390
2.1500	140.0000	0.00796	0.00416	-0.000193	0.01610

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.0500	0.0884	0.00000	0.00642	0.00131	0.003860	0.00899
-0.9540	0.1110	0.00692	0.00642	0.00133	0.003820	0.00903
-0.8540	0.1400	0.00692	0.00642	0.00133	0.003820	0.00903
-0.7540	0.1760	0.00692	0.00642	0.00133	0.003820	0.00903
-0.6540	0.2220	0.00802	0.00642	0.00134	0.003810	0.00904
-0.5540	0.2800	0.01970	0.00642	0.00138	0.003720	0.00913
-0.4540	0.3520	0.02020	0.00642	0.00138	0.003720	0.00913
-0.3540	0.4430	0.02020	0.00642	0.00138	0.003720	0.00913
-0.2540	0.5580	0.03560	0.00642	0.00137	0.003740	0.00911
-0.1540	0.7020	0.04640	0.00642	0.00139	0.003710	0.00914
-0.0535	0.8840	0.06810	0.00642	0.00140	0.003680	0.00917
0.0465	1.1100	0.07470	0.00642	0.00138	0.003720	0.00913
0.1460	1.4000	0.08130	0.00642	0.00138	0.003720	0.00913
0.2460	1.7600	0.09980	0.00642	0.00138	0.003730	0.00912
0.3460	2.2200	0.12500	0.00642	0.00143	0.003630	0.00922
0.4460	2.8000	0.12700	0.00642	0.00143	0.003620	0.00922
0.5460	3.5200	0.16800	0.00642	0.00151	0.003470	0.00938
0.6460	4.4300	0.19800	0.00642	0.00150	0.003480	0.00937
0.7460	5.5800	0.27400	0.00642	0.00196	0.002590	0.01030
0.8460	7.0200	0.31200	0.00642	0.00209	0.002330	0.01050
0.9460	8.8400	0.34500	0.00642	0.00217	0.002170	0.01070
1.0500	11.1000	0.34700	0.00642	0.00217	0.002180	0.01070
1.1500	14.0000	0.37300	0.00642	0.00227	0.001970	0.01090
1.2500	17.6000	0.42900	0.00642	0.00205	0.002400	0.01040
1.3500	22.2000	0.47700	0.00642	0.00228	0.001950	0.01090
1.4500	28.0000	0.54500	0.00642	0.00232	0.001880	0.01100
1.5500	35.2000	0.58500	0.00642	0.00233	0.001860	0.01100
1.6500	44.3000	0.64200	0.00619	0.00247	0.001340	0.01100
1.7500	55.8000	0.67500	0.00619	0.00276	0.000775	0.01160
1.8500	70.2000	0.73200	0.00619	0.00301	0.000302	0.01210
1.9500	88.4000	0.78000	0.00619	0.00344	-0.000543	0.01290
2.0500	111.0000	0.82000	0.00619	0.00354	-0.000743	0.01310
2.1500	140.0000	0.84100	0.00619	0.00416	-0.001960	0.01430

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.0500	0.0884	0.288	0.178	-0.0614	0.637
-0.9540	0.1110	0.288	0.181	-0.0672	0.642
-0.8540	0.1400	0.288	0.181	-0.0672	0.642
-0.7540	0.1760	0.288	0.181	-0.0672	0.642
-0.6540	0.2220	0.288	0.182	-0.0690	0.644
-0.5540	0.2800	0.288	0.188	-0.0802	0.655
-0.4540	0.3520	0.288	0.188	-0.0804	0.656
-0.3540	0.4430	0.288	0.188	-0.0804	0.656
-0.2540	0.5580	0.288	0.186	-0.0779	0.653
-0.1540	0.7020	0.288	0.189	-0.0822	0.657
-0.0535	0.8840	0.288	0.191	-0.0864	0.661
0.0465	1.1100	0.288	0.188	-0.0802	0.655
0.1460	1.4000	0.288	0.188	-0.0813	0.656
0.2460	1.7600	0.288	0.187	-0.0799	0.655
0.3460	2.2200	0.288	0.194	-0.0928	0.668
0.4460	2.8000	0.288	0.195	-0.0937	0.669
0.5460	3.5200	0.288	0.205	-0.1150	0.690
0.6460	4.4300	0.288	0.205	-0.1140	0.689
0.7460	5.5800	0.288	0.267	-0.2350	0.810
0.8460	7.0200	0.288	0.284	-0.2690	0.845
0.9460	8.8400	0.288	0.295	-0.2910	0.866
1.0500	11.1000	0.288	0.295	-0.2900	0.866
1.1500	14.0000	0.288	0.309	-0.3180	0.893
1.2500	17.6000	0.288	0.279	-0.2600	0.835
1.3500	22.2000	0.288	0.311	-0.3210	0.896
1.4500	28.0000	0.288	0.316	-0.3310	0.906
1.5500	35.2000	0.288	0.317	-0.3340	0.910
1.6500	44.3000	0.313	0.333	-0.3390	0.966
1.7500	55.8000	0.313	0.372	-0.4160	1.040
1.8500	70.2000	0.313	0.404	-0.4790	1.110
1.9500	88.4000	0.313	0.462	-0.5930	1.220
2.0500	111.0000	0.313	0.476	-0.6200	1.250
2.1500	140.0000	0.313	0.559	-0.7830	1.410

IgG Spike Delta1

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.14	1370	0.00522	0.00105	0.003170	0.00727
3.24	1730	0.00594	0.00134	0.003320	0.00855
3.34	2180	0.00594	0.00134	0.003320	0.00855
3.44	2740	0.00594	0.00134	0.003320	0.00855
3.54	3450	0.00594	0.00134	0.003320	0.00855
3.64	4350	0.00594	0.00134	0.003320	0.00855
3.74	5470	0.00599	0.00136	0.003330	0.00865
3.84	6890	0.00599	0.00136	0.003330	0.00865
3.94	8670	0.00599	0.00136	0.003330	0.00866
4.04	10900	0.00601	0.00136	0.003350	0.00867
4.14	13700	0.00608	0.00138	0.003370	0.00878
4.24	17300	0.00610	0.00139	0.003380	0.00882
4.34	21800	0.00621	0.00142	0.003420	0.00900
4.44	27400	0.00625	0.00141	0.003490	0.00901
4.54	34500	0.00625	0.00141	0.003500	0.00901
4.64	43500	0.00641	0.00146	0.003550	0.00926
4.74	54700	0.00646	0.00146	0.003590	0.00932
4.84	68900	0.00661	0.00150	0.003670	0.00954
4.94	86700	0.00650	0.00151	0.003550	0.00946
5.04	109000	0.00668	0.00160	0.003540	0.00982
5.14	137000	0.00689	0.00173	0.003510	0.01030
5.24	173000	0.00628	0.00172	0.002900	0.00966
5.34	218000	0.00637	0.00188	0.002700	0.01010
5.44	274000	0.00524	0.00181	0.001700	0.00879
5.54	345000	0.00510	0.00227	0.000662	0.00954
5.64	435000	0.00240	0.00128	-0.000118	0.00491

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
3.14	1370	0.0000	0.00616	0.00105	0.004110	0.00821
3.24	1730	0.0117	0.00616	0.00134	0.003540	0.00878
3.34	2180	0.0117	0.00616	0.00134	0.003540	0.00878
3.44	2740	0.0117	0.00616	0.00134	0.003540	0.00878
3.54	3450	0.0117	0.00616	0.00134	0.003540	0.00878
3.64	4350	0.0117	0.00616	0.00134	0.003540	0.00878
3.74	5470	0.0175	0.00616	0.00136	0.003500	0.00882
3.84	6890	0.0175	0.00616	0.00136	0.003500	0.00882
3.94	8670	0.0180	0.00616	0.00136	0.003500	0.00882
4.04	10900	0.0244	0.00616	0.00136	0.003500	0.00882
4.14	13700	0.0308	0.00616	0.00138	0.003450	0.00887
4.24	17300	0.0324	0.00616	0.00139	0.003440	0.00888
4.34	21800	0.0462	0.00616	0.00142	0.003370	0.00895
4.44	27400	0.0680	0.00616	0.00141	0.003400	0.00892
4.54	34500	0.0691	0.00616	0.00141	0.003400	0.00892
4.64	43500	0.0915	0.00616	0.00146	0.003310	0.00901
4.74	54700	0.1060	0.00616	0.00146	0.003290	0.00903
4.84	68900	0.1330	0.00616	0.00150	0.003220	0.00910
4.94	86700	0.1630	0.00616	0.00151	0.003200	0.00911
5.04	109000	0.2070	0.00616	0.00160	0.003020	0.00930
5.14	137000	0.2720	0.00616	0.00173	0.002780	0.00954
5.24	173000	0.3160	0.00616	0.00172	0.002780	0.00953
5.34	218000	0.4380	0.00616	0.00188	0.002480	0.00984
5.44	274000	0.5480	0.00524	0.00181	0.001700	0.00879
5.54	345000	0.6750	0.00510	0.00227	0.000662	0.00954
5.64	435000	0.7490	0.00240	0.00128	-0.000118	0.00491

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.14	1370	0.317	0.157	0.00986	0.624
3.24	1730	0.317	0.182	-0.03920	0.673
3.34	2180	0.317	0.182	-0.03920	0.673
3.44	2740	0.317	0.182	-0.03920	0.673
3.54	3450	0.317	0.182	-0.03920	0.673
3.64	4350	0.317	0.182	-0.03920	0.673
3.74	5470	0.317	0.184	-0.04300	0.677
3.84	6890	0.317	0.184	-0.04300	0.677
3.94	8670	0.317	0.184	-0.04340	0.678
4.04	10900	0.317	0.184	-0.04290	0.677
4.14	13700	0.317	0.186	-0.04750	0.682
4.24	17300	0.317	0.187	-0.04880	0.683
4.34	21800	0.317	0.190	-0.05510	0.689
4.44	27400	0.317	0.188	-0.05210	0.686
4.54	34500	0.317	0.188	-0.05220	0.686
4.64	43500	0.317	0.193	-0.06080	0.695
4.74	54700	0.317	0.193	-0.06210	0.696
4.84	68900	0.317	0.197	-0.06880	0.703
4.94	86700	0.317	0.198	-0.07020	0.704
5.04	109000	0.317	0.207	-0.08780	0.722
5.14	137000	0.317	0.218	-0.11100	0.745
5.24	173000	0.317	0.218	-0.11100	0.745
5.34	218000	0.317	0.233	-0.14000	0.774
5.44	274000	0.419	0.220	-0.01190	0.849
5.54	345000	0.434	0.266	-0.08720	0.956
5.64	435000	0.734	0.148	0.44400	1.020

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.00139	0.006290	0.01170
2.5	317	0.00918	0.00192	0.005430	0.01290
2.6	399	0.00918	0.00192	0.005430	0.01290
2.7	503	0.00918	0.00192	0.005430	0.01290
2.8	633	0.00919	0.00192	0.005430	0.01300
2.9	796	0.00919	0.00192	0.005430	0.01300
3.0	1000	0.00919	0.00192	0.005430	0.01300
3.1	1260	0.00896	0.00190	0.005230	0.01270
3.2	1590	0.00899	0.00190	0.005250	0.01270
3.3	2000	0.00831	0.00185	0.004680	0.01190
3.4	2520	0.00835	0.00186	0.004700	0.01200
3.5	3170	0.00808	0.00183	0.004500	0.01170
3.6	3990	0.00763	0.00178	0.004140	0.01110
3.7	5030	0.00653	0.00162	0.003350	0.00971
3.8	6330	0.00626	0.00159	0.003140	0.00937
3.9	7960	0.00527	0.00146	0.002410	0.00813
4.0	10000	0.00573	0.00158	0.002620	0.00883
4.1	12600	0.00433	0.00141	0.001560	0.00709
4.2	15900	0.00410	0.00140	0.001350	0.00684
4.3	20000	0.00373	0.00142	0.000945	0.00652
4.4	25200	0.00251	0.00107	0.000410	0.00462
4.5	31700	0.00282	0.00127	0.000326	0.00532
4.6	39900	0.00246	0.00120	0.000118	0.00481
4.7	50300	0.00220	0.00126	-0.000264	0.00466
4.8	63300	0.00186	0.00130	-0.000691	0.00442

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00000	0.00916	0.00139	0.006440	0.01190
2.5	317	0.00380	0.00916	0.00192	0.005410	0.01290
2.6	399	0.00380	0.00916	0.00192	0.005410	0.01290
2.7	503	0.00380	0.00916	0.00192	0.005410	0.01290
2.8	633	0.00430	0.00916	0.00192	0.005400	0.01290
2.9	796	0.00430	0.00916	0.00192	0.005400	0.01290
3.0	1000	0.00430	0.00916	0.00192	0.005400	0.01290
3.1	1260	0.00905	0.00897	0.00190	0.005240	0.01270
3.2	1590	0.01100	0.00897	0.00190	0.005240	0.01270
3.3	2000	0.08490	0.00833	0.00185	0.004700	0.01200
3.4	2520	0.09040	0.00833	0.00186	0.004680	0.01200
3.5	3170	0.09320	0.00808	0.00183	0.004500	0.01170
3.6	3990	0.12100	0.00763	0.00178	0.004140	0.01110
3.7	5030	0.14700	0.00653	0.00162	0.003350	0.00971
3.8	6330	0.15100	0.00626	0.00159	0.003140	0.00937
3.9	7960	0.18500	0.00549	0.00146	0.002630	0.00835
4.0	10000	0.26100	0.00549	0.00158	0.002390	0.00860
4.1	12600	0.33400	0.00433	0.00141	0.001560	0.00709
4.2	15900	0.36300	0.00410	0.00140	0.001350	0.00684
4.3	20000	0.43700	0.00373	0.00142	0.000944	0.00652
4.4	25200	0.45000	0.00267	0.00107	0.000565	0.00477
4.5	31700	0.51500	0.00267	0.00127	0.000171	0.00517
4.6	39900	0.55000	0.00246	0.00120	0.000118	0.00481
4.7	50300	0.61100	0.00220	0.00126	-0.000264	0.00466
4.8	63300	0.65400	0.00186	0.00130	-0.000691	0.00442

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.3100	0.0489	0.00584	0.00131	0.003280	0.00841
-1.2100	0.0616	0.00590	0.00132	0.003310	0.00849
-1.1100	0.0776	0.00592	0.00133	0.003310	0.00852
-1.0100	0.0976	0.00592	0.00133	0.003310	0.00852
-0.9100	0.1230	0.00592	0.00133	0.003310	0.00852
-0.8100	0.1550	0.00592	0.00133	0.003310	0.00852
-0.7100	0.1950	0.00592	0.00133	0.003310	0.00852
-0.6100	0.2450	0.00603	0.00138	0.003330	0.00874
-0.5100	0.3090	0.00603	0.00138	0.003330	0.00874
-0.4100	0.3890	0.00603	0.00138	0.003330	0.00874
-0.3100	0.4890	0.00606	0.00137	0.003380	0.00875
-0.2100	0.6160	0.00606	0.00137	0.003380	0.00875
-0.1100	0.7760	0.00615	0.00139	0.003430	0.00888
-0.0104	0.9760	0.00622	0.00140	0.003460	0.00897
0.0896	1.2300	0.00601	0.00138	0.003300	0.00872
0.1900	1.5500	0.00579	0.00136	0.003130	0.00846
0.2900	1.9500	0.00600	0.00142	0.003210	0.00878
0.3900	2.4500	0.00610	0.00145	0.003250	0.00895
0.4900	3.0900	0.00628	0.00151	0.003330	0.00924
0.5900	3.8900	0.00642	0.00163	0.003220	0.00962
0.6900	4.8900	0.00727	0.00199	0.003380	0.01120
0.7900	6.1600	0.00729	0.00197	0.003430	0.01120
0.8900	7.7600	0.00783	0.00216	0.003600	0.01210
0.9900	9.7600	0.00794	0.00215	0.003730	0.01220
1.0900	12.3000	0.00873	0.00238	0.004070	0.01340
1.1900	15.5000	0.00787	0.00226	0.003430	0.01230
1.2900	19.5000	0.00813	0.00252	0.003190	0.01310
1.3900	24.5000	0.00693	0.00246	0.002100	0.01180
1.4900	30.9000	0.00743	0.00263	0.002270	0.01260
1.5900	38.9000	0.00657	0.00266	0.001360	0.01180
1.6900	48.9000	0.00596	0.00327	-0.000448	0.01240
1.7900	61.6000	0.00797	0.00487	-0.001580	0.01750
1.8900	77.6000	0.01090	0.00622	-0.001340	0.02310
1.9900	97.6000	0.01540	0.00967	-0.003590	0.03430
2.0900	123.0000	0.01770	0.00974	-0.001400	0.03680
2.1900	155.0000	0.01600	0.00976	-0.003100	0.03520

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.3100	0.0489	0.00000	0.00648	0.00131	3.92e-03	0.00904
-1.2100	0.0616	0.00583	0.00648	0.00132	3.89e-03	0.00907
-1.1100	0.0776	0.00692	0.00648	0.00133	3.87e-03	0.00909
-1.0100	0.0976	0.00692	0.00648	0.00133	3.87e-03	0.00909
-0.9100	0.1230	0.00692	0.00648	0.00133	3.87e-03	0.00909
-0.8100	0.1550	0.00692	0.00648	0.00133	3.87e-03	0.00909
-0.7100	0.1950	0.00692	0.00648	0.00133	3.87e-03	0.00909
-0.6100	0.2450	0.01970	0.00648	0.00138	3.78e-03	0.00918
-0.5100	0.3090	0.01970	0.00648	0.00138	3.78e-03	0.00918
-0.4100	0.3890	0.01970	0.00648	0.00138	3.78e-03	0.00918
-0.3100	0.4890	0.02920	0.00648	0.00137	3.80e-03	0.00916
-0.2100	0.6160	0.03030	0.00648	0.00137	3.80e-03	0.00916
-0.1100	0.7760	0.05590	0.00648	0.00139	3.75e-03	0.00921
-0.0104	0.9760	0.07390	0.00648	0.00140	3.73e-03	0.00923
0.0896	1.2300	0.08690	0.00648	0.00138	3.77e-03	0.00919
0.1900	1.5500	0.09480	0.00648	0.00136	3.81e-03	0.00915
0.2900	1.9500	0.13100	0.00648	0.00142	3.69e-03	0.00927
0.3900	2.4500	0.14900	0.00648	0.00145	3.63e-03	0.00933
0.4900	3.0900	0.17100	0.00648	0.00151	3.52e-03	0.00944
0.5900	3.8900	0.21500	0.00648	0.00163	3.28e-03	0.00968
0.6900	4.8900	0.28900	0.00648	0.00199	2.59e-03	0.01040
0.7900	6.1600	0.29700	0.00648	0.00197	2.61e-03	0.01030
0.8900	7.7600	0.35200	0.00648	0.00216	2.25e-03	0.01070
0.9900	9.7600	0.37800	0.00648	0.00215	2.26e-03	0.01070
1.0900	12.3000	0.39400	0.00648	0.00238	1.82e-03	0.01110
1.1900	15.5000	0.43200	0.00648	0.00226	2.04e-03	0.01090
1.2900	19.5000	0.48200	0.00648	0.00252	1.54e-03	0.01140
1.3900	24.5000	0.58600	0.00648	0.00246	1.65e-03	0.01130
1.4900	30.9000	0.63100	0.00648	0.00263	1.32e-03	0.01160
1.5900	38.9000	0.65800	0.00648	0.00266	1.27e-03	0.01170
1.6900	48.9000	0.71800	0.00648	0.00327	7.01e-05	0.01290
1.7900	61.6000	0.76200	0.00648	0.00487	-3.07e-03	0.01600
1.8900	77.6000	0.79500	0.00648	0.00622	-5.72e-03	0.01870
1.9900	97.6000	0.85000	0.00648	0.00967	-1.25e-02	0.02540
2.0900	123.0000	0.91500	0.00648	0.00974	-1.26e-02	0.02560
2.1900	155.0000	0.91800	0.00648	0.00976	-1.26e-02	0.02560

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.3100	0.0489	0.281	0.179	-0.0687	0.631
-1.2100	0.0616	0.281	0.181	-0.0726	0.635
-1.1100	0.0776	0.281	0.182	-0.0745	0.637
-1.0100	0.0976	0.281	0.182	-0.0745	0.637
-0.9100	0.1230	0.281	0.182	-0.0745	0.637
-0.8100	0.1550	0.281	0.182	-0.0745	0.637
-0.7100	0.1950	0.281	0.182	-0.0745	0.637
-0.6100	0.2450	0.281	0.188	-0.0875	0.650
-0.5100	0.3090	0.281	0.188	-0.0875	0.650
-0.4100	0.3890	0.281	0.188	-0.0875	0.650
-0.3100	0.4890	0.281	0.187	-0.0852	0.648
-0.2100	0.6160	0.281	0.187	-0.0852	0.648
-0.1100	0.7760	0.281	0.190	-0.0912	0.654
-0.0104	0.9760	0.281	0.192	-0.0946	0.657
0.0896	1.2300	0.281	0.189	-0.0883	0.651
0.1900	1.5500	0.281	0.186	-0.0827	0.645
0.2900	1.9500	0.281	0.194	-0.0992	0.662
0.3900	2.4500	0.281	0.198	-0.1070	0.670
0.4900	3.0900	0.281	0.206	-0.1220	0.685
0.5900	3.8900	0.281	0.223	-0.1560	0.718
0.6900	4.8900	0.281	0.271	-0.2510	0.813
0.7900	6.1600	0.281	0.269	-0.2470	0.809
0.8900	7.7600	0.281	0.295	-0.2970	0.859
0.9900	9.7600	0.281	0.294	-0.2940	0.857
1.0900	12.3000	0.281	0.324	-0.3550	0.917
1.1900	15.5000	0.281	0.309	-0.3240	0.887
1.2900	19.5000	0.281	0.344	-0.3940	0.956
1.3900	24.5000	0.281	0.336	-0.3780	0.940
1.4900	30.9000	0.281	0.360	-0.4240	0.987
1.5900	38.9000	0.281	0.363	-0.4300	0.993
1.6900	48.9000	0.281	0.447	-0.5940	1.160
1.7900	61.6000	0.281	0.665	-1.0200	1.590
1.8900	77.6000	0.281	0.850	-1.3800	1.950
1.9900	97.6000	0.281	1.320	-2.3100	2.870
2.0900	123.0000	0.281	1.330	-2.3200	2.890
2.1900	155.0000	0.281	1.330	-2.3300	2.890

IgG Spike Delta2

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.2	1580	0.00522	0.00105	3.17e-03	0.00727
3.3	1990	0.00594	0.00134	3.32e-03	0.00855
3.4	2510	0.00594	0.00134	3.32e-03	0.00855
3.5	3150	0.00594	0.00134	3.32e-03	0.00855
3.6	3970	0.00594	0.00134	3.32e-03	0.00855
3.7	5000	0.00594	0.00134	3.32e-03	0.00855
3.8	6290	0.00599	0.00136	3.33e-03	0.00865
3.9	7920	0.00599	0.00136	3.33e-03	0.00866
4.0	9970	0.00599	0.00136	3.33e-03	0.00866
4.1	12600	0.00601	0.00136	3.35e-03	0.00867
4.2	15800	0.00608	0.00138	3.37e-03	0.00878
4.3	19900	0.00609	0.00138	3.39e-03	0.00880
4.4	25100	0.00621	0.00143	3.41e-03	0.00900
4.5	31500	0.00625	0.00141	3.49e-03	0.00901
4.6	39700	0.00631	0.00143	3.51e-03	0.00911
4.7	50000	0.00641	0.00146	3.55e-03	0.00926
4.8	62900	0.00646	0.00146	3.59e-03	0.00933
4.9	79200	0.00665	0.00151	3.68e-03	0.00961
5.0	99700	0.00658	0.00153	3.58e-03	0.00958
5.1	126000	0.00670	0.00162	3.54e-03	0.00987
5.2	158000	0.00684	0.00171	3.48e-03	0.01020
5.3	199000	0.00623	0.00171	2.87e-03	0.00958
5.4	251000	0.00667	0.00199	2.77e-03	0.01060
5.5	315000	0.00483	0.00173	1.44e-03	0.00823
5.6	397000	0.00338	0.00137	6.94e-04	0.00606
5.7	500000	0.00228	0.00121	-8.78e-05	0.00465

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
3.2	1580	0.0000	0.00617	0.00105	4.12e-03	0.00822
3.3	1990	0.0117	0.00617	0.00134	3.56e-03	0.00879
3.4	2510	0.0117	0.00617	0.00134	3.56e-03	0.00879
3.5	3150	0.0117	0.00617	0.00134	3.56e-03	0.00879
3.6	3970	0.0117	0.00617	0.00134	3.56e-03	0.00879
3.7	5000	0.0117	0.00617	0.00134	3.56e-03	0.00879
3.8	6290	0.0175	0.00617	0.00136	3.51e-03	0.00883
3.9	7920	0.0180	0.00617	0.00136	3.51e-03	0.00884
4.0	9970	0.0180	0.00617	0.00136	3.51e-03	0.00884
4.1	12600	0.0244	0.00617	0.00136	3.51e-03	0.00883
4.2	15800	0.0313	0.00617	0.00138	3.47e-03	0.00888
4.3	19900	0.0371	0.00617	0.00138	3.47e-03	0.00888
4.4	25100	0.0457	0.00617	0.00143	3.38e-03	0.00897
4.5	31500	0.0680	0.00617	0.00141	3.41e-03	0.00893
4.6	39700	0.0749	0.00617	0.00143	3.38e-03	0.00897
4.7	50000	0.0915	0.00617	0.00146	3.32e-03	0.00903
4.8	62900	0.1070	0.00617	0.00146	3.31e-03	0.00904
4.9	79200	0.1350	0.00617	0.00151	3.21e-03	0.00914
5.0	99700	0.1720	0.00617	0.00153	3.17e-03	0.00918
5.1	126000	0.2040	0.00617	0.00162	3.01e-03	0.00934
5.2	158000	0.2640	0.00617	0.00171	2.81e-03	0.00953
5.3	199000	0.3030	0.00617	0.00171	2.82e-03	0.00953
5.4	251000	0.4580	0.00617	0.00199	2.28e-03	0.01010
5.5	315000	0.5610	0.00483	0.00173	1.44e-03	0.00823
5.6	397000	0.6750	0.00338	0.00137	6.94e-04	0.00606
5.7	500000	0.7520	0.00228	0.00121	-8.79e-05	0.00465

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.2	1580	0.315	0.157	0.00792	0.623
3.3	1990	0.315	0.182	-0.04110	0.672
3.4	2510	0.315	0.182	-0.04110	0.672
3.5	3150	0.315	0.182	-0.04110	0.672
3.6	3970	0.315	0.182	-0.04110	0.672
3.7	5000	0.315	0.182	-0.04110	0.672
3.8	6290	0.315	0.184	-0.04490	0.676
3.9	7920	0.315	0.184	-0.04530	0.676
4.0	9970	0.315	0.184	-0.04530	0.676
4.1	12600	0.315	0.184	-0.04480	0.676
4.2	15800	0.315	0.186	-0.04930	0.680
4.3	19900	0.315	0.186	-0.04900	0.680
4.4	25100	0.315	0.190	-0.05720	0.688
4.5	31500	0.315	0.188	-0.05400	0.685
4.6	39700	0.315	0.190	-0.05750	0.688
4.7	50000	0.315	0.193	-0.06270	0.694
4.8	62900	0.315	0.194	-0.06410	0.695
4.9	79200	0.315	0.198	-0.07300	0.704
5.0	99700	0.315	0.200	-0.07670	0.708
5.1	126000	0.315	0.208	-0.09220	0.723
5.2	158000	0.315	0.217	-0.11100	0.742
5.3	199000	0.315	0.217	-0.11000	0.741
5.4	251000	0.315	0.245	-0.16400	0.795
5.5	315000	0.464	0.209	0.05350	0.874
5.6	397000	0.626	0.162	0.30700	0.944
5.7	500000	0.747	0.140	0.47300	1.020

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.00139	0.006290	0.01170
2.5	317	0.00919	0.00192	0.005430	0.01300
2.6	399	0.00919	0.00192	0.005430	0.01300
2.7	503	0.00919	0.00192	0.005430	0.01300
2.8	633	0.00919	0.00192	0.005430	0.01300
2.9	796	0.00919	0.00192	0.005430	0.01300
3.0	1000	0.00919	0.00192	0.005430	0.01300
3.1	1260	0.00923	0.00194	0.005430	0.01300
3.2	1590	0.00898	0.00190	0.005240	0.01270
3.3	2000	0.00810	0.00179	0.004580	0.01160
3.4	2520	0.00834	0.00186	0.004690	0.01200
3.5	3170	0.00806	0.00182	0.004490	0.01160
3.6	3990	0.00783	0.00180	0.004310	0.01130
3.7	5030	0.00713	0.00171	0.003770	0.01050
3.8	6330	0.00625	0.00159	0.003140	0.00936
3.9	7960	0.00616	0.00160	0.003020	0.00931
4.0	10000	0.00555	0.00154	0.002540	0.00856
4.1	12600	0.00492	0.00148	0.002020	0.00782
4.2	15900	0.00439	0.00143	0.001580	0.00720
4.3	20000	0.00366	0.00139	0.000941	0.00637
4.4	25200	0.00312	0.00126	0.000656	0.00559
4.5	31700	0.00272	0.00120	0.000370	0.00506
4.6	39900	0.00282	0.00124	0.000383	0.00526
4.7	50300	0.00208	0.00114	-0.000158	0.00431
4.8	63300	0.00182	0.00123	-0.000587	0.00424

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00000	0.00917	0.00139	0.006450	0.01190
2.5	317	0.00430	0.00917	0.00192	0.005410	0.01290
2.6	399	0.00430	0.00917	0.00192	0.005410	0.01290
2.7	503	0.00430	0.00917	0.00192	0.005410	0.01290
2.8	633	0.00430	0.00917	0.00192	0.005410	0.01290
2.9	796	0.00430	0.00917	0.00192	0.005410	0.01290
3.0	1000	0.00430	0.00917	0.00192	0.005410	0.01290
3.1	1260	0.00878	0.00917	0.00194	0.005380	0.01300
3.2	1590	0.01050	0.00898	0.00190	0.005240	0.01270
3.3	2000	0.05470	0.00821	0.00179	0.004700	0.01170
3.4	2520	0.08790	0.00821	0.00186	0.004570	0.01190
3.5	3170	0.09240	0.00806	0.00182	0.004490	0.01160
3.6	3990	0.09590	0.00783	0.00180	0.004310	0.01130
3.7	5030	0.14500	0.00713	0.00171	0.003770	0.01050
3.8	6330	0.15000	0.00625	0.00159	0.003140	0.00936
3.9	7960	0.16200	0.00616	0.00160	0.003020	0.00931
4.0	10000	0.24400	0.00555	0.00154	0.002540	0.00856
4.1	12600	0.27900	0.00492	0.00148	0.002020	0.00782
4.2	15900	0.34300	0.00439	0.00143	0.001580	0.00720
4.3	20000	0.42200	0.00366	0.00139	0.000941	0.00637
4.4	25200	0.44200	0.00312	0.00126	0.000656	0.00559
4.5	31700	0.48900	0.00277	0.00120	0.000423	0.00512
4.6	39900	0.54300	0.00277	0.00124	0.000331	0.00521
4.7	50300	0.57900	0.00208	0.00114	-0.000158	0.00431
4.8	63300	0.64200	0.00182	0.00123	-0.000587	0.00424

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.2700	0.0535	0.00584	0.00131	0.003280	0.00841
-1.1700	0.0674	0.00590	0.00132	0.003310	0.00849
-1.0700	0.0848	0.00592	0.00133	0.003310	0.00852
-0.9710	0.1070	0.00592	0.00133	0.003310	0.00852
-0.8710	0.1340	0.00592	0.00133	0.003310	0.00852
-0.7710	0.1690	0.00592	0.00133	0.003310	0.00852
-0.6710	0.2130	0.00592	0.00133	0.003310	0.00852
-0.5710	0.2680	0.00603	0.00138	0.003330	0.00874
-0.4710	0.3380	0.00603	0.00138	0.003330	0.00874
-0.3710	0.4250	0.00603	0.00138	0.003330	0.00874
-0.2710	0.5350	0.00606	0.00137	0.003380	0.00875
-0.1710	0.6740	0.00612	0.00139	0.003400	0.00883
-0.0715	0.8480	0.00615	0.00139	0.003430	0.00888
0.0285	1.0700	0.00596	0.00137	0.003270	0.00865
0.1290	1.3400	0.00579	0.00136	0.003130	0.00845
0.2290	1.6900	0.00584	0.00137	0.003140	0.00853
0.3290	2.1300	0.00600	0.00142	0.003210	0.00879
0.4290	2.6800	0.00611	0.00145	0.003260	0.00895
0.5290	3.3800	0.00606	0.00148	0.003140	0.00897
0.6290	4.2500	0.00669	0.00174	0.003280	0.01010
0.7290	5.3500	0.00728	0.00197	0.003420	0.01110
0.8290	6.7400	0.00746	0.00201	0.003530	0.01140
0.9290	8.4800	0.00781	0.00216	0.003580	0.01200
1.0300	10.7000	0.00799	0.00217	0.003750	0.01220
1.1300	13.4000	0.00852	0.00240	0.003810	0.01320
1.2300	16.9000	0.00717	0.00207	0.003110	0.01120
1.3300	21.3000	0.00738	0.00223	0.003000	0.01180
1.4300	26.8000	0.00701	0.00248	0.002150	0.01190
1.5300	33.8000	0.00676	0.00249	0.001880	0.01160
1.6300	42.5000	0.00657	0.00265	0.001380	0.01180
1.7300	53.5000	0.00654	0.00298	0.000701	0.01240
1.8300	67.4000	0.00687	0.00540	-0.003720	0.01750
1.9300	84.8000	0.01170	0.00621	-0.000465	0.02390
2.0300	107.0000	0.01010	0.00587	-0.001400	0.02160
2.1300	134.0000	0.01710	0.00944	-0.001440	0.03560
2.2300	169.0000	0.01770	0.01060	-0.003040	0.03840

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.2700	0.0535	0.00000	0.00641	0.00131	0.003850	0.00897
-1.1700	0.0674	0.00583	0.00641	0.00132	0.003820	0.00900
-1.0700	0.0848	0.00692	0.00641	0.00133	0.003800	0.00901
-0.9710	0.1070	0.00692	0.00641	0.00133	0.003800	0.00901
-0.8710	0.1340	0.00692	0.00641	0.00133	0.003800	0.00901
-0.7710	0.1690	0.00692	0.00641	0.00133	0.003800	0.00901
-0.6710	0.2130	0.00692	0.00641	0.00133	0.003800	0.00901
-0.5710	0.2680	0.01970	0.00641	0.00138	0.003710	0.00911
-0.4710	0.3380	0.01970	0.00641	0.00138	0.003710	0.00911
-0.3710	0.4250	0.01970	0.00641	0.00138	0.003710	0.00911
-0.2710	0.5350	0.02980	0.00641	0.00137	0.003720	0.00909
-0.1710	0.6740	0.04050	0.00641	0.00139	0.003690	0.00912
-0.0715	0.8480	0.05590	0.00641	0.00139	0.003680	0.00914
0.0285	1.0700	0.07420	0.00641	0.00137	0.003720	0.00910
0.1290	1.3400	0.09320	0.00641	0.00136	0.003750	0.00907
0.2290	1.6900	0.10000	0.00641	0.00137	0.003720	0.00910
0.3290	2.1300	0.13200	0.00641	0.00142	0.003620	0.00920
0.4290	2.6800	0.14900	0.00641	0.00145	0.003560	0.00926
0.5290	3.3800	0.18400	0.00641	0.00148	0.003500	0.00932
0.6290	4.2500	0.23300	0.00641	0.00174	0.003010	0.00981
0.7290	5.3500	0.29400	0.00641	0.00197	0.002550	0.01030
0.8290	6.7400	0.32200	0.00641	0.00201	0.002480	0.01030
0.9290	8.4800	0.34900	0.00641	0.00216	0.002180	0.01060
1.0300	10.7000	0.38400	0.00641	0.00217	0.002160	0.01070
1.1300	13.4000	0.40100	0.00641	0.00240	0.001700	0.01110
1.2300	16.9000	0.42700	0.00641	0.00207	0.002350	0.01050
1.3300	21.3000	0.47200	0.00641	0.00223	0.002030	0.01080
1.4300	26.8000	0.59500	0.00641	0.00248	0.001550	0.01130
1.5300	33.8000	0.62300	0.00641	0.00249	0.001530	0.01130
1.6300	42.5000	0.65900	0.00641	0.00265	0.001220	0.01160
1.7300	53.5000	0.70400	0.00641	0.00298	0.000566	0.01230
1.8300	67.4000	0.77200	0.00641	0.00540	-0.004180	0.01700
1.9300	84.8000	0.82100	0.00641	0.00621	-0.005760	0.01860
2.0300	107.0000	0.85200	0.00641	0.00587	-0.005100	0.01790
2.1300	134.0000	0.91400	0.00641	0.00944	-0.012100	0.02490
2.2300	169.0000	0.93800	0.00641	0.01060	-0.014300	0.02710

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.2700	0.0535	0.289	0.178	-0.0594	0.638
-1.1700	0.0674	0.289	0.180	-0.0633	0.642
-1.0700	0.0848	0.289	0.181	-0.0652	0.644
-0.9710	0.1070	0.289	0.181	-0.0652	0.644
-0.8710	0.1340	0.289	0.181	-0.0652	0.644
-0.7710	0.1690	0.289	0.181	-0.0652	0.644
-0.6710	0.2130	0.289	0.181	-0.0652	0.644
-0.5710	0.2680	0.289	0.188	-0.0782	0.657
-0.4710	0.3380	0.289	0.188	-0.0782	0.657
-0.3710	0.4250	0.289	0.188	-0.0782	0.657
-0.2710	0.5350	0.289	0.186	-0.0759	0.655
-0.1710	0.6740	0.289	0.189	-0.0802	0.659
-0.0715	0.8480	0.289	0.189	-0.0818	0.660
0.0285	1.0700	0.289	0.187	-0.0765	0.655
0.1290	1.3400	0.289	0.185	-0.0727	0.651
0.2290	1.6900	0.289	0.187	-0.0771	0.656
0.3290	2.1300	0.289	0.194	-0.0903	0.669
0.4290	2.6800	0.289	0.198	-0.0983	0.677
0.5290	3.3800	0.289	0.202	-0.1070	0.685
0.6290	4.2500	0.289	0.236	-0.1740	0.752
0.7290	5.3500	0.289	0.268	-0.2360	0.814
0.8290	6.7400	0.289	0.273	-0.2450	0.824
0.9290	8.4800	0.289	0.293	-0.2850	0.864
1.0300	10.7000	0.289	0.295	-0.2880	0.867
1.1300	13.4000	0.289	0.327	-0.3510	0.930
1.2300	16.9000	0.289	0.281	-0.2620	0.841
1.3300	21.3000	0.289	0.304	-0.3060	0.885
1.4300	26.8000	0.289	0.337	-0.3710	0.950
1.5300	33.8000	0.289	0.338	-0.3740	0.952
1.6300	42.5000	0.289	0.360	-0.4170	0.995
1.7300	53.5000	0.289	0.406	-0.5060	1.080
1.8300	67.4000	0.289	0.735	-1.1500	1.730
1.9300	84.8000	0.289	0.845	-1.3700	1.950
2.0300	107.0000	0.289	0.799	-1.2800	1.850
2.1300	134.0000	0.289	1.280	-2.2300	2.810
2.2300	169.0000	0.289	1.440	-2.5300	3.110

IgG Spike Delta3

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.1	1260	0.00522	0.00105	0.003170	0.00727
3.2	1580	0.00594	0.00134	0.003320	0.00855
3.3	1990	0.00594	0.00134	0.003320	0.00855
3.4	2510	0.00594	0.00134	0.003320	0.00855
3.5	3160	0.00594	0.00134	0.003320	0.00855
3.6	3970	0.00594	0.00134	0.003320	0.00855
3.7	5000	0.00599	0.00136	0.003330	0.00865
3.8	6300	0.00599	0.00136	0.003330	0.00866
3.9	7930	0.00599	0.00136	0.003330	0.00866
4.0	9980	0.00601	0.00136	0.003350	0.00867
4.1	12600	0.00607	0.00138	0.003370	0.00878
4.2	15800	0.00609	0.00138	0.003390	0.00880
4.3	19900	0.00621	0.00143	0.003410	0.00900
4.4	25100	0.00625	0.00141	0.003490	0.00901
4.5	31600	0.00625	0.00141	0.003490	0.00901
4.6	39700	0.00633	0.00143	0.003530	0.00913
4.7	50000	0.00644	0.00146	0.003570	0.00930
4.8	63000	0.00665	0.00151	0.003680	0.00961
4.9	79300	0.00677	0.00154	0.003750	0.00980
5.0	99800	0.00661	0.00158	0.003520	0.00970
5.1	126000	0.00682	0.00171	0.003470	0.01020
5.2	158000	0.00637	0.00179	0.002870	0.00987
5.3	199000	0.00615	0.00178	0.002670	0.00963
5.4	251000	0.00547	0.00191	0.001730	0.00922
5.5	316000	0.00340	0.00138	0.000696	0.00611
5.6	397000	0.00298	0.00145	0.000143	0.00582

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
3.1	1260	0.0000	0.00616	0.00105	0.004110	0.00821
3.2	1580	0.0117	0.00616	0.00134	0.003540	0.00878
3.3	1990	0.0117	0.00616	0.00134	0.003540	0.00878
3.4	2510	0.0117	0.00616	0.00134	0.003540	0.00878
3.5	3160	0.0117	0.00616	0.00134	0.003540	0.00878
3.6	3970	0.0117	0.00616	0.00134	0.003540	0.00878
3.7	5000	0.0175	0.00616	0.00136	0.003500	0.00882
3.8	6300	0.0180	0.00616	0.00136	0.003490	0.00882
3.9	7930	0.0180	0.00616	0.00136	0.003490	0.00882
4.0	9980	0.0244	0.00616	0.00136	0.003500	0.00882
4.1	12600	0.0302	0.00616	0.00138	0.003450	0.00886
4.2	15800	0.0371	0.00616	0.00138	0.003450	0.00886
4.3	19900	0.0457	0.00616	0.00143	0.003360	0.00895
4.4	25100	0.0674	0.00616	0.00141	0.003400	0.00892
4.5	31600	0.0685	0.00616	0.00141	0.003400	0.00892
4.6	39700	0.0802	0.00616	0.00143	0.003350	0.00896
4.7	50000	0.1000	0.00616	0.00146	0.003290	0.00902
4.8	63000	0.1360	0.00616	0.00151	0.003190	0.00912
4.9	79300	0.1620	0.00616	0.00154	0.003140	0.00918
5.0	99800	0.1960	0.00616	0.00158	0.003070	0.00925
5.1	126000	0.2610	0.00616	0.00171	0.002810	0.00951
5.2	158000	0.3140	0.00616	0.00179	0.002660	0.00966
5.3	199000	0.4220	0.00615	0.00178	0.002670	0.00963
5.4	251000	0.5580	0.00547	0.00191	0.001730	0.00922
5.5	316000	0.6640	0.00340	0.00138	0.000696	0.00611
5.6	397000	0.7540	0.00298	0.00145	0.000143	0.00582

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.1	1260	0.317	0.157	0.00995	0.624
3.2	1580	0.317	0.182	-0.03920	0.673
3.3	1990	0.317	0.182	-0.03920	0.673
3.4	2510	0.317	0.182	-0.03920	0.673
3.5	3160	0.317	0.182	-0.03920	0.673
3.6	3970	0.317	0.182	-0.03920	0.673
3.7	5000	0.317	0.184	-0.04290	0.677
3.8	6300	0.317	0.184	-0.04330	0.678
3.9	7930	0.317	0.184	-0.04330	0.678
4.0	9980	0.317	0.184	-0.04280	0.677
4.1	12600	0.317	0.186	-0.04730	0.682
4.2	15800	0.317	0.186	-0.04710	0.681
4.3	19900	0.317	0.190	-0.05530	0.690
4.4	25100	0.317	0.188	-0.05200	0.686
4.5	31600	0.317	0.188	-0.05210	0.686
4.6	39700	0.317	0.190	-0.05620	0.690
4.7	50000	0.317	0.193	-0.06170	0.696
4.8	63000	0.317	0.198	-0.07120	0.705
4.9	79300	0.317	0.201	-0.07660	0.711
5.0	99800	0.317	0.204	-0.08310	0.717
5.1	126000	0.317	0.217	-0.10800	0.742
5.2	158000	0.317	0.224	-0.12300	0.757
5.3	199000	0.318	0.223	-0.12000	0.756
5.4	251000	0.393	0.232	-0.06110	0.847
5.5	316000	0.623	0.164	0.30200	0.944
5.6	397000	0.669	0.169	0.33900	1.000

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.00139	0.006290	0.01170
2.5	317	0.00919	0.00192	0.005420	0.01290
2.6	399	0.00919	0.00192	0.005420	0.01290
2.7	503	0.00919	0.00192	0.005420	0.01290
2.8	633	0.00919	0.00192	0.005420	0.01290
2.9	796	0.00919	0.00192	0.005420	0.01290
3.0	1000	0.00919	0.00192	0.005420	0.01290
3.1	1260	0.00888	0.00190	0.005160	0.01260
3.2	1590	0.00855	0.00189	0.004850	0.01230
3.3	2000	0.00835	0.00186	0.004700	0.01200
3.4	2520	0.00806	0.00182	0.004490	0.01160
3.5	3170	0.00752	0.00175	0.004090	0.01100
3.6	3990	0.00675	0.00166	0.003500	0.00999
3.7	5030	0.00625	0.00159	0.003140	0.00936
3.8	6330	0.00538	0.00148	0.002480	0.00829
3.9	7960	0.00550	0.00152	0.002520	0.00847
4.0	10000	0.00474	0.00143	0.001940	0.00754
4.1	12600	0.00433	0.00141	0.001560	0.00710
4.2	15900	0.00379	0.00136	0.001130	0.00646
4.3	20000	0.00311	0.00125	0.000656	0.00557
4.4	25200	0.00261	0.00113	0.000395	0.00482
4.5	31700	0.00284	0.00129	0.000307	0.00537
4.6	39900	0.00207	0.00113	-0.000153	0.00429
4.7	50300	0.00224	0.00132	-0.000335	0.00482

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.0000	0.00916	0.00139	6.43e-03	0.01190
2.5	317	0.0038	0.00916	0.00192	5.40e-03	0.01290
2.6	399	0.0038	0.00916	0.00192	5.40e-03	0.01290
2.7	503	0.0038	0.00916	0.00192	5.40e-03	0.01290
2.8	633	0.0038	0.00916	0.00192	5.40e-03	0.01290
2.9	796	0.0038	0.00916	0.00192	5.40e-03	0.01290
3.0	1000	0.0038	0.00916	0.00192	5.40e-03	0.01290
3.1	1260	0.0370	0.00888	0.00190	5.16e-03	0.01260
3.2	1590	0.0703	0.00855	0.00189	4.85e-03	0.01230
3.3	2000	0.0894	0.00835	0.00186	4.70e-03	0.01200
3.4	2520	0.0929	0.00806	0.00182	4.49e-03	0.01160
3.5	3170	0.0959	0.00752	0.00175	4.09e-03	0.01100
3.6	3990	0.1240	0.00675	0.00166	3.50e-03	0.00999
3.7	5030	0.1500	0.00625	0.00159	3.14e-03	0.00936
3.8	6330	0.2100	0.00544	0.00148	2.54e-03	0.00834
3.9	7960	0.2320	0.00544	0.00152	2.46e-03	0.00842
4.0	10000	0.2910	0.00474	0.00143	1.94e-03	0.00754
4.1	12600	0.3360	0.00433	0.00141	1.56e-03	0.00710
4.2	15900	0.3780	0.00379	0.00136	1.13e-03	0.00646
4.3	20000	0.4400	0.00311	0.00125	6.56e-04	0.00557
4.4	25200	0.4620	0.00272	0.00113	5.09e-04	0.00494
4.5	31700	0.5190	0.00272	0.00129	1.92e-04	0.00525
4.6	39900	0.5750	0.00216	0.00113	-6.42e-05	0.00437
4.7	50300	0.6200	0.00216	0.00132	-4.23e-04	0.00473

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.2800	0.0526	0.00584	0.00131	0.003280	0.00841
-1.1800	0.0663	0.00590	0.00132	0.003310	0.00849
-1.0800	0.0834	0.00590	0.00132	0.003310	0.00849
-0.9790	0.1050	0.00592	0.00133	0.003310	0.00852
-0.8790	0.1320	0.00592	0.00133	0.003310	0.00852
-0.7790	0.1660	0.00592	0.00133	0.003310	0.00852
-0.6790	0.2100	0.00596	0.00134	0.003320	0.00859
-0.5790	0.2640	0.00603	0.00138	0.003330	0.00874
-0.4790	0.3320	0.00603	0.00138	0.003330	0.00874
-0.3790	0.4180	0.00603	0.00138	0.003330	0.00874
-0.2790	0.5260	0.00606	0.00137	0.003380	0.00875
-0.1790	0.6630	0.00612	0.00139	0.003400	0.00883
-0.0787	0.8340	0.00615	0.00139	0.003430	0.00888
0.0213	1.0500	0.00596	0.00137	0.003270	0.00865
0.1210	1.3200	0.00604	0.00139	0.003310	0.00876
0.2210	1.6600	0.00589	0.00139	0.003170	0.00862
0.3210	2.1000	0.00600	0.00142	0.003210	0.00879
0.4210	2.6400	0.00611	0.00145	0.003260	0.00896
0.5210	3.3200	0.00636	0.00153	0.003360	0.00936
0.6210	4.1800	0.00648	0.00165	0.003250	0.00971
0.7210	5.2600	0.00728	0.00199	0.003380	0.01120
0.8210	6.6300	0.00761	0.00214	0.003420	0.01180
0.9210	8.3400	0.00780	0.00215	0.003590	0.01200
1.0200	10.5000	0.00795	0.00216	0.003720	0.01220
1.1200	13.2000	0.00833	0.00231	0.003800	0.01290
1.2200	16.6000	0.00754	0.00226	0.003110	0.01200
1.3200	21.0000	0.00768	0.00246	0.002860	0.01250
1.4200	26.4000	0.00703	0.00255	0.002040	0.01200
1.5200	33.2000	0.00597	0.00233	0.001400	0.01050
1.6200	41.8000	0.00581	0.00249	0.000936	0.01070
1.7200	52.6000	0.00548	0.00255	0.000486	0.01050
1.8200	66.3000	0.00929	0.00532	-0.001130	0.01970
1.9200	83.4000	0.01270	0.00665	-0.000338	0.02570
2.0200	105.0000	0.00972	0.00531	-0.000684	0.02010
2.1200	132.0000	0.01760	0.00983	-0.001670	0.03690
2.2200	166.0000	0.01780	0.01060	-0.002910	0.03850

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.2800	0.0526	0.00000	0.00643	0.00131	0.00387	0.00900
-1.1800	0.0663	0.00583	0.00643	0.00132	0.00384	0.00903
-1.0800	0.0834	0.00583	0.00643	0.00132	0.00384	0.00903
-0.9790	0.1050	0.00692	0.00643	0.00133	0.00383	0.00904
-0.8790	0.1320	0.00692	0.00643	0.00133	0.00383	0.00904
-0.7790	0.1660	0.00692	0.00643	0.00133	0.00383	0.00904
-0.6790	0.2100	0.01280	0.00643	0.00134	0.00380	0.00907
-0.5790	0.2640	0.01970	0.00643	0.00138	0.00373	0.00914
-0.4790	0.3320	0.01970	0.00643	0.00138	0.00373	0.00914
-0.3790	0.4180	0.01970	0.00643	0.00138	0.00373	0.00914
-0.2790	0.5260	0.02920	0.00643	0.00137	0.00375	0.00912
-0.1790	0.6630	0.04050	0.00643	0.00139	0.00372	0.00915
-0.0787	0.8340	0.05590	0.00643	0.00139	0.00371	0.00916
0.0213	1.0500	0.07420	0.00643	0.00137	0.00375	0.00912
0.1210	1.3200	0.09240	0.00643	0.00139	0.00371	0.00916
0.2210	1.6600	0.11300	0.00643	0.00139	0.00371	0.00916
0.3210	2.1000	0.13200	0.00643	0.00142	0.00365	0.00922
0.4210	2.6400	0.14900	0.00643	0.00145	0.00358	0.00928
0.5210	3.3200	0.18500	0.00643	0.00153	0.00343	0.00944
0.6210	4.1800	0.23100	0.00643	0.00165	0.00321	0.00966
0.7210	5.2600	0.29000	0.00643	0.00199	0.00254	0.01030
0.8210	6.6300	0.31700	0.00643	0.00214	0.00224	0.01060
0.9210	8.3400	0.34900	0.00643	0.00215	0.00222	0.01060
1.0200	10.5000	0.37700	0.00643	0.00216	0.00220	0.01070
1.1200	13.2000	0.39400	0.00643	0.00231	0.00191	0.01100
1.2200	16.6000	0.44300	0.00643	0.00226	0.00200	0.01090
1.3200	21.0000	0.49900	0.00643	0.00246	0.00161	0.01130
1.4200	26.4000	0.59000	0.00643	0.00255	0.00144	0.01140
1.5200	33.2000	0.60800	0.00643	0.00233	0.00186	0.01100
1.6200	41.8000	0.65800	0.00643	0.00249	0.00156	0.01130
1.7200	52.6000	0.70100	0.00643	0.00255	0.00144	0.01140
1.8200	66.3000	0.77200	0.00643	0.00532	-0.00398	0.01690
1.9200	83.4000	0.81900	0.00643	0.00665	-0.00660	0.01950
2.0200	105.0000	0.86600	0.00643	0.00531	-0.00397	0.01680
2.1200	132.0000	0.91300	0.00643	0.00983	-0.01280	0.02570
2.2200	166.0000	0.92400	0.00643	0.01060	-0.01430	0.02710

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.2800	0.0526	0.286	0.178	-0.0627	0.636
-1.1800	0.0663	0.286	0.180	-0.0666	0.640
-1.0800	0.0834	0.286	0.180	-0.0666	0.640
-0.9790	0.1050	0.286	0.181	-0.0685	0.641
-0.8790	0.1320	0.286	0.181	-0.0685	0.641
-0.7790	0.1660	0.286	0.181	-0.0685	0.641
-0.6790	0.2100	0.286	0.183	-0.0721	0.645
-0.5790	0.2640	0.286	0.188	-0.0815	0.654
-0.4790	0.3320	0.286	0.188	-0.0815	0.654
-0.3790	0.4180	0.286	0.188	-0.0815	0.654
-0.2790	0.5260	0.286	0.187	-0.0793	0.652
-0.1790	0.6630	0.286	0.189	-0.0835	0.656
-0.0787	0.8340	0.286	0.190	-0.0852	0.658
0.0213	1.0500	0.286	0.187	-0.0798	0.653
0.1210	1.3200	0.286	0.189	-0.0848	0.658
0.2210	1.6600	0.286	0.189	-0.0848	0.658
0.3210	2.1000	0.286	0.194	-0.0933	0.666
0.4210	2.6400	0.286	0.198	-0.1020	0.675
0.5210	3.3200	0.286	0.209	-0.1220	0.695
0.6210	4.1800	0.286	0.224	-0.1530	0.726
0.7210	5.2600	0.286	0.271	-0.2450	0.817
0.8210	6.6300	0.286	0.292	-0.2850	0.858
0.9210	8.3400	0.286	0.293	-0.2880	0.861
1.0200	10.5000	0.286	0.294	-0.2900	0.863
1.1200	13.2000	0.286	0.315	-0.3310	0.903
1.2200	16.6000	0.286	0.308	-0.3170	0.890
1.3200	21.0000	0.286	0.335	-0.3700	0.943
1.4200	26.4000	0.286	0.347	-0.3940	0.967
1.5200	33.2000	0.286	0.318	-0.3360	0.909
1.6200	41.8000	0.286	0.339	-0.3780	0.951
1.7200	52.6000	0.286	0.347	-0.3950	0.967
1.8200	66.3000	0.286	0.724	-1.1300	1.710
1.9200	83.4000	0.286	0.906	-1.4900	2.060
2.0200	105.0000	0.286	0.723	-1.1300	1.700
2.1200	132.0000	0.286	1.340	-2.3400	2.910
2.2200	166.0000	0.286	1.440	-2.5300	3.110

IgG Spike Omicron

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00522	0.00105	3.17e-03	0.00727
2.5	317	0.00594	0.00134	3.32e-03	0.00855
2.6	399	0.00594	0.00134	3.32e-03	0.00855
2.7	503	0.00594	0.00134	3.32e-03	0.00855
2.8	633	0.00594	0.00134	3.32e-03	0.00855
2.9	796	0.00594	0.00134	3.32e-03	0.00855
3.0	1000	0.00594	0.00134	3.32e-03	0.00855
3.1	1260	0.00594	0.00134	3.32e-03	0.00855
3.2	1590	0.00599	0.00136	3.33e-03	0.00865
3.3	2000	0.00599	0.00136	3.33e-03	0.00866
3.4	2520	0.00600	0.00136	3.34e-03	0.00867
3.5	3170	0.00608	0.00138	3.37e-03	0.00878
3.6	3990	0.00614	0.00141	3.38e-03	0.00890
3.7	5030	0.00626	0.00145	3.42e-03	0.00911
3.8	6330	0.00630	0.00145	3.46e-03	0.00914
3.9	7960	0.00631	0.00143	3.51e-03	0.00911
4.0	10000	0.00633	0.00143	3.53e-03	0.00914
4.1	12600	0.00642	0.00145	3.58e-03	0.00926
4.2	15900	0.00626	0.00144	3.44e-03	0.00908
4.3	20000	0.00659	0.00153	3.60e-03	0.00958
4.4	25200	0.00681	0.00159	3.69e-03	0.00993
4.5	31700	0.00702	0.00165	3.78e-03	0.01030
4.6	39900	0.00719	0.00171	3.85e-03	0.01050
4.7	50300	0.00686	0.00170	3.52e-03	0.01020
4.8	63300	0.00726	0.00206	3.22e-03	0.01130
4.9	79600	0.00723	0.00221	2.90e-03	0.01160
5.0	100000	0.00674	0.00230	2.23e-03	0.01120
5.1	126000	0.00565	0.00287	2.06e-05	0.01130
5.2	159000	0.00238	0.00146	-4.89e-04	0.00524
5.3	200000	0.00371	0.00236	-9.22e-04	0.00834

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.0000	0.00628	0.00105	4.23e-03	0.00833
2.5	317	0.0117	0.00628	0.00134	3.66e-03	0.00890
2.6	399	0.0117	0.00628	0.00134	3.66e-03	0.00890
2.7	503	0.0117	0.00628	0.00134	3.66e-03	0.00890
2.8	633	0.0117	0.00628	0.00134	3.66e-03	0.00890
2.9	796	0.0117	0.00628	0.00134	3.66e-03	0.00890
3.0	1000	0.0117	0.00628	0.00134	3.66e-03	0.00890
3.1	1260	0.0117	0.00628	0.00134	3.66e-03	0.00890
3.2	1590	0.0180	0.00628	0.00136	3.62e-03	0.00894
3.3	2000	0.0186	0.00628	0.00136	3.62e-03	0.00894
3.4	2520	0.0196	0.00628	0.00136	3.61e-03	0.00895
3.5	3170	0.0313	0.00628	0.00138	3.57e-03	0.00899
3.6	3990	0.0377	0.00628	0.00141	3.52e-03	0.00904
3.7	5030	0.0515	0.00628	0.00145	3.43e-03	0.00913
3.8	6330	0.0643	0.00628	0.00145	3.44e-03	0.00912
3.9	7960	0.0738	0.00628	0.00143	3.48e-03	0.00908
4.0	10000	0.0802	0.00628	0.00143	3.47e-03	0.00909
4.1	12600	0.1050	0.00628	0.00145	3.44e-03	0.00912
4.2	15900	0.1250	0.00628	0.00144	3.46e-03	0.00910
4.3	20000	0.1560	0.00628	0.00153	3.29e-03	0.00927
4.4	25200	0.1810	0.00628	0.00159	3.16e-03	0.00940
4.5	31700	0.2120	0.00628	0.00165	3.04e-03	0.00951
4.6	39900	0.2330	0.00628	0.00171	2.94e-03	0.00962
4.7	50300	0.2690	0.00628	0.00170	2.94e-03	0.00962
4.8	63300	0.4170	0.00628	0.00206	2.24e-03	0.01030
4.9	79600	0.5180	0.00628	0.00221	1.95e-03	0.01060
5.0	100000	0.6330	0.00628	0.00230	1.77e-03	0.01080
5.1	126000	0.7360	0.00565	0.00287	2.05e-05	0.01130
5.2	159000	0.7830	0.00304	0.00146	1.78e-04	0.00591
5.3	200000	0.8750	0.00304	0.00236	-1.59e-03	0.00768

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.304	0.158	-0.00633	0.614
2.5	317	0.304	0.183	-0.05510	0.662
2.6	399	0.304	0.183	-0.05510	0.662
2.7	503	0.304	0.183	-0.05510	0.662
2.8	633	0.304	0.183	-0.05510	0.662
2.9	796	0.304	0.183	-0.05510	0.662
3.0	1000	0.304	0.183	-0.05510	0.662
3.1	1260	0.304	0.183	-0.05510	0.662
3.2	1590	0.304	0.185	-0.05860	0.666
3.3	2000	0.304	0.185	-0.05900	0.666
3.4	2520	0.304	0.185	-0.05950	0.667
3.5	3170	0.304	0.187	-0.06310	0.670
3.6	3990	0.304	0.190	-0.06780	0.675
3.7	5030	0.304	0.194	-0.07590	0.683
3.8	6330	0.304	0.193	-0.07530	0.683
3.9	7960	0.304	0.192	-0.07170	0.679
4.0	10000	0.304	0.192	-0.07220	0.679
4.1	12600	0.304	0.193	-0.07530	0.683
4.2	15900	0.304	0.192	-0.07340	0.681
4.3	20000	0.304	0.200	-0.08930	0.697
4.4	25200	0.304	0.207	-0.10200	0.709
4.5	31700	0.304	0.212	-0.11200	0.720
4.6	39900	0.304	0.218	-0.12300	0.730
4.7	50300	0.304	0.217	-0.12200	0.729
4.8	63300	0.304	0.253	-0.19200	0.799
4.9	79600	0.304	0.268	-0.22100	0.828
5.0	100000	0.304	0.277	-0.23900	0.846
5.1	126000	0.373	0.333	-0.28000	1.030
5.2	159000	0.662	0.170	0.32800	0.996
5.3	200000	0.662	0.267	0.13800	1.190

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.001390	0.006290	0.01170
2.5	317	0.00852	0.001870	0.004850	0.01220
2.6	399	0.00852	0.001870	0.004850	0.01220
2.7	503	0.00852	0.001870	0.004850	0.01220
2.8	633	0.00852	0.001870	0.004850	0.01220
2.9	796	0.00822	0.001850	0.004590	0.01180
3.0	1000	0.00834	0.001920	0.004570	0.01210
3.1	1260	0.00802	0.001880	0.004340	0.01170
3.2	1590	0.00747	0.001800	0.003930	0.01100
3.3	2000	0.00700	0.001750	0.003570	0.01040
3.4	2520	0.00624	0.001700	0.002900	0.00958
3.5	3170	0.00573	0.001680	0.002450	0.00901
3.6	3990	0.00356	0.001300	0.001010	0.00612
3.7	5030	0.00335	0.001310	0.000788	0.00591
3.8	6330	0.00250	0.001110	0.000321	0.00468
3.9	7960	0.00174	0.000965	-0.000153	0.00363
4.0	10000	0.00188	0.001090	-0.000257	0.00402
4.1	12600	0.00196	0.001200	-0.000403	0.00432
4.2	15900	0.00216	0.001280	-0.000345	0.00465
4.3	20000	0.00215	0.001440	-0.000664	0.00496

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.0000	0.00902	0.001390	6.29e-03	0.01170
2.5	317	0.0648	0.00852	0.001870	4.85e-03	0.01220
2.6	399	0.0648	0.00852	0.001870	4.85e-03	0.01220
2.7	503	0.0648	0.00852	0.001870	4.85e-03	0.01220
2.8	633	0.0648	0.00852	0.001870	4.85e-03	0.01220
2.9	796	0.1150	0.00828	0.001850	4.65e-03	0.01190
3.0	1000	0.1530	0.00828	0.001920	4.51e-03	0.01200
3.1	1260	0.1550	0.00802	0.001880	4.34e-03	0.01170
3.2	1590	0.1610	0.00747	0.001800	3.93e-03	0.01100
3.3	2000	0.1970	0.00700	0.001750	3.57e-03	0.01040
3.4	2520	0.2490	0.00624	0.001700	2.90e-03	0.00958
3.5	3170	0.2730	0.00573	0.001680	2.45e-03	0.00901
3.6	3990	0.3160	0.00356	0.001300	1.01e-03	0.00612
3.7	5030	0.3780	0.00335	0.001310	7.88e-04	0.00591
3.8	6330	0.3870	0.00250	0.001110	3.21e-04	0.00468
3.9	7960	0.4380	0.00198	0.000965	8.49e-05	0.00387
4.0	10000	0.4970	0.00198	0.001090	-1.64e-04	0.00412
4.1	12600	0.5260	0.00198	0.001200	-3.83e-04	0.00434
4.2	15900	0.6340	0.00198	0.001280	-5.23e-04	0.00448
4.3	20000	0.7060	0.00198	0.001440	-8.36e-04	0.00479

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.3200	0.0476	0.00584	0.00131	0.003280	0.00841
-1.2200	0.0599	0.00590	0.00132	0.003310	0.00849
-1.1200	0.0754	0.00592	0.00133	0.003310	0.00852
-1.0200	0.0950	0.00592	0.00133	0.003310	0.00852
-0.9220	0.1200	0.00592	0.00133	0.003310	0.00852
-0.8220	0.1510	0.00592	0.00133	0.003310	0.00852
-0.7220	0.1890	0.00598	0.00135	0.003320	0.00863
-0.6220	0.2390	0.00603	0.00138	0.003330	0.00874
-0.5220	0.3000	0.00603	0.00138	0.003330	0.00874
-0.4220	0.3780	0.00606	0.00137	0.003380	0.00875
-0.3220	0.4760	0.00606	0.00137	0.003380	0.00875
-0.2220	0.5990	0.00612	0.00139	0.003400	0.00883
-0.1220	0.7540	0.00614	0.00139	0.003420	0.00886
-0.0224	0.9500	0.00616	0.00139	0.003430	0.00888
0.0776	1.2000	0.00600	0.00138	0.003280	0.00871
0.1780	1.5100	0.00575	0.00135	0.003100	0.00839
0.2780	1.8900	0.00597	0.00142	0.003180	0.00877
0.3780	2.3900	0.00600	0.00142	0.003200	0.00879
0.4780	3.0000	0.00578	0.00140	0.003030	0.00854
0.5780	3.7800	0.00603	0.00149	0.003120	0.00894
0.6780	4.7600	0.00612	0.00150	0.003170	0.00906
0.7780	5.9900	0.00589	0.00156	0.002840	0.00894
0.8780	7.5400	0.00666	0.00177	0.003200	0.01010
0.9780	9.5000	0.00692	0.00188	0.003230	0.01060
1.0800	12.0000	0.00682	0.00194	0.003030	0.01060
1.1800	15.1000	0.00710	0.00207	0.003060	0.01120
1.2800	18.9000	0.00731	0.00218	0.003040	0.01160
1.3800	23.9000	0.00768	0.00229	0.003190	0.01220
1.4800	30.0000	0.00775	0.00240	0.003040	0.01250
1.5800	37.8000	0.00687	0.00238	0.002210	0.01150
1.6800	47.6000	0.00681	0.00249	0.001940	0.01170
1.7800	59.9000	0.00550	0.00227	0.001060	0.00995
1.8800	75.4000	0.00599	0.00265	0.000796	0.01120
1.9800	95.0000	0.00743	0.00414	-0.000677	0.01550
2.0800	120.0000	0.00981	0.00632	-0.002570	0.02220
2.1800	151.0000	0.00817	0.00651	-0.004590	0.02090
2.2800	189.0000	0.00948	0.00641	-0.003090	0.02200
2.3800	239.0000	0.01280	0.01350	-0.013700	0.03930
2.4800	300.0000	0.01110	0.01690	-0.021900	0.04420

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.3200	0.0476	0.00000	0.00626	0.00131	0.00370	0.00882
-1.2200	0.0599	0.00583	0.00626	0.00132	0.00367	0.00885
-1.1200	0.0754	0.00692	0.00626	0.00133	0.00365	0.00887
-1.0200	0.0950	0.00692	0.00626	0.00133	0.00365	0.00887
-0.9220	0.1200	0.00692	0.00626	0.00133	0.00365	0.00887
-0.8220	0.1510	0.00692	0.00626	0.00133	0.00365	0.00887
-0.7220	0.1890	0.01280	0.00626	0.00135	0.00360	0.00892
-0.6220	0.2390	0.01970	0.00626	0.00138	0.00356	0.00896
-0.5220	0.3000	0.01970	0.00626	0.00138	0.00356	0.00896
-0.4220	0.3780	0.02920	0.00626	0.00137	0.00358	0.00894
-0.3220	0.4760	0.02920	0.00626	0.00137	0.00358	0.00894
-0.2220	0.5990	0.04000	0.00626	0.00139	0.00354	0.00898
-0.1220	0.7540	0.05120	0.00626	0.00139	0.00354	0.00898
-0.0224	0.9500	0.05700	0.00626	0.00139	0.00353	0.00899
0.0776	1.2000	0.08080	0.00626	0.00138	0.00355	0.00897
0.1780	1.5100	0.08160	0.00626	0.00135	0.00361	0.00891
0.2780	1.8900	0.11800	0.00626	0.00142	0.00347	0.00905
0.3780	2.3900	0.12500	0.00626	0.00142	0.00347	0.00905
0.4780	3.0000	0.13800	0.00626	0.00140	0.00351	0.00901
0.5780	3.7800	0.16900	0.00626	0.00149	0.00335	0.00917
0.6780	4.7600	0.19300	0.00626	0.00150	0.00332	0.00920
0.7780	5.9900	0.23800	0.00626	0.00156	0.00321	0.00931
0.8780	7.5400	0.28400	0.00626	0.00177	0.00280	0.00972
0.9780	9.5000	0.30300	0.00626	0.00188	0.00257	0.00995
1.0800	12.0000	0.32200	0.00626	0.00194	0.00246	0.01010
1.1800	15.1000	0.34900	0.00626	0.00207	0.00221	0.01030
1.2800	18.9000	0.36500	0.00626	0.00218	0.00198	0.01050
1.3800	23.9000	0.40900	0.00626	0.00229	0.00177	0.01070
1.4800	30.0000	0.47600	0.00626	0.00240	0.00155	0.01100
1.5800	37.8000	0.56500	0.00626	0.00238	0.00160	0.01090
1.6800	47.6000	0.60600	0.00626	0.00249	0.00139	0.01110
1.7800	59.9000	0.64400	0.00626	0.00227	0.00182	0.01070
1.8800	75.4000	0.71000	0.00626	0.00265	0.00107	0.01150
1.9800	95.0000	0.77000	0.00626	0.00414	-0.00185	0.01440
2.0800	120.0000	0.81400	0.00626	0.00632	-0.00612	0.01860
2.1800	151.0000	0.83000	0.00626	0.00651	-0.00650	0.01900
2.2800	189.0000	0.85800	0.00626	0.00641	-0.00631	0.01880
2.3800	239.0000	0.90300	0.00626	0.01350	-0.02020	0.03280
2.4800	300.0000	0.92100	0.00626	0.01690	-0.02680	0.03930

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.3200	0.0476	0.306	0.177	-0.0403	0.652
-1.2200	0.0599	0.306	0.179	-0.0441	0.656
-1.1200	0.0754	0.306	0.179	-0.0460	0.657
-1.0200	0.0950	0.306	0.179	-0.0460	0.657
-0.9220	0.1200	0.306	0.179	-0.0460	0.657
-0.8220	0.1510	0.306	0.179	-0.0460	0.657
-0.7220	0.1890	0.306	0.183	-0.0528	0.664
-0.6220	0.2390	0.306	0.186	-0.0589	0.670
-0.5220	0.3000	0.306	0.186	-0.0589	0.670
-0.4220	0.3780	0.306	0.185	-0.0567	0.668
-0.3220	0.4760	0.306	0.185	-0.0567	0.668
-0.2220	0.5990	0.306	0.187	-0.0609	0.672
-0.1220	0.7540	0.306	0.188	-0.0619	0.673
-0.0224	0.9500	0.306	0.188	-0.0625	0.674
0.0776	1.2000	0.306	0.187	-0.0603	0.672
0.1780	1.5100	0.306	0.182	-0.0520	0.663
0.2780	1.8900	0.306	0.192	-0.0713	0.683
0.3780	2.3900	0.306	0.192	-0.0711	0.683
0.4780	3.0000	0.306	0.190	-0.0660	0.677
0.5780	3.7800	0.306	0.201	-0.0877	0.699
0.6780	4.7600	0.306	0.203	-0.0917	0.703
0.7780	5.9900	0.306	0.210	-0.1060	0.717
0.8780	7.5400	0.306	0.238	-0.1620	0.773
0.9780	9.5000	0.306	0.254	-0.1920	0.804
1.0800	12.0000	0.306	0.261	-0.2070	0.818
1.1800	15.1000	0.306	0.279	-0.2410	0.852
1.2800	18.9000	0.306	0.295	-0.2720	0.883
1.3800	23.9000	0.306	0.309	-0.3000	0.911
1.4800	30.0000	0.306	0.325	-0.3310	0.942
1.5800	37.8000	0.306	0.321	-0.3240	0.935
1.6800	47.6000	0.306	0.336	-0.3520	0.964
1.7800	59.9000	0.306	0.306	-0.2940	0.906
1.8800	75.4000	0.306	0.358	-0.3950	1.010
1.9800	95.0000	0.306	0.559	-0.7890	1.400
2.0800	120.0000	0.306	0.853	-1.3700	1.980
2.1800	151.0000	0.306	0.879	-1.4200	2.030
2.2800	189.0000	0.306	0.866	-1.3900	2.000
2.3800	239.0000	0.306	1.830	-3.2700	3.880
2.4800	300.0000	0.306	2.280	-4.1500	4.760

IgG Spike Cross-Reactivity Score

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.06	1150	0.00522	0.00105	0.003170	0.00727
3.16	1450	0.00594	0.00134	0.003320	0.00855
3.26	1830	0.00594	0.00134	0.003320	0.00855
3.36	2300	0.00594	0.00134	0.003320	0.00855
3.46	2900	0.00594	0.00134	0.003320	0.00855
3.56	3650	0.00599	0.00136	0.003330	0.00865
3.66	4590	0.00599	0.00136	0.003330	0.00865
3.76	5780	0.00599	0.00136	0.003330	0.00866
3.86	7280	0.00600	0.00136	0.003330	0.00866
3.96	9160	0.00608	0.00138	0.003370	0.00878
4.06	11500	0.00608	0.00138	0.003370	0.00878
4.16	14500	0.00613	0.00139	0.003400	0.00887
4.26	18300	0.00626	0.00145	0.003420	0.00910
4.36	23000	0.00631	0.00143	0.003510	0.00910
4.46	29000	0.00634	0.00143	0.003530	0.00914
4.56	36500	0.00634	0.00143	0.003530	0.00914
4.66	45900	0.00648	0.00146	0.003610	0.00934
4.76	57800	0.00676	0.00154	0.003740	0.00977
4.86	72800	0.00686	0.00161	0.003710	0.01000
4.96	91600	0.00704	0.00166	0.003790	0.01030
5.06	115000	0.00685	0.00172	0.003480	0.01020
5.16	145000	0.00663	0.00176	0.003180	0.01010
5.26	183000	0.00604	0.00198	0.002170	0.00992
5.36	230000	0.00572	0.00198	0.001830	0.00960
5.46	290000	0.00550	0.00243	0.000743	0.01020
5.56	365000	0.00262	0.00142	-0.000159	0.00539

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
3.06	1150	0.0000	0.00621	0.00105	0.004160	0.00826
3.16	1450	0.0117	0.00621	0.00134	0.003600	0.00883
3.26	1830	0.0117	0.00621	0.00134	0.003600	0.00883
3.36	2300	0.0117	0.00621	0.00134	0.003600	0.00883
3.46	2900	0.0117	0.00621	0.00134	0.003600	0.00883
3.56	3650	0.0175	0.00621	0.00136	0.003550	0.00887
3.66	4590	0.0175	0.00621	0.00136	0.003550	0.00887
3.76	5780	0.0180	0.00621	0.00136	0.003550	0.00888
3.86	7280	0.0186	0.00621	0.00136	0.003550	0.00888
3.96	9160	0.0313	0.00621	0.00138	0.003510	0.00892
4.06	11500	0.0313	0.00621	0.00138	0.003510	0.00892
4.16	14500	0.0393	0.00621	0.00139	0.003480	0.00895
4.26	18300	0.0521	0.00621	0.00145	0.003370	0.00905
4.36	23000	0.0733	0.00621	0.00143	0.003420	0.00901
4.46	29000	0.0813	0.00621	0.00143	0.003410	0.00902
4.56	36500	0.0813	0.00621	0.00143	0.003410	0.00902
4.66	45900	0.1150	0.00621	0.00146	0.003350	0.00908
4.76	57800	0.1590	0.00621	0.00154	0.003200	0.00923
4.86	72800	0.1840	0.00621	0.00161	0.003060	0.00937
4.96	91600	0.2150	0.00621	0.00166	0.002970	0.00946
5.06	115000	0.2570	0.00621	0.00172	0.002840	0.00959
5.16	145000	0.3240	0.00621	0.00176	0.002760	0.00967
5.26	183000	0.4690	0.00604	0.00198	0.002170	0.00992
5.36	230000	0.6100	0.00572	0.00198	0.001830	0.00960
5.46	290000	0.7100	0.00550	0.00243	0.000743	0.01020
5.56	365000	0.7920	0.00262	0.00142	-0.000159	0.00539

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
3.06	1150	0.311	0.157	0.00252	0.619
3.16	1450	0.311	0.182	-0.04640	0.668
3.26	1830	0.311	0.182	-0.04640	0.668
3.36	2300	0.311	0.182	-0.04640	0.668
3.46	2900	0.311	0.182	-0.04640	0.668
3.56	3650	0.311	0.184	-0.05010	0.672
3.66	4590	0.311	0.184	-0.05010	0.672
3.76	5780	0.311	0.184	-0.05050	0.672
3.86	7280	0.311	0.185	-0.05090	0.673
3.96	9160	0.311	0.186	-0.05450	0.676
4.06	11500	0.311	0.186	-0.05450	0.676
4.16	14500	0.311	0.188	-0.05690	0.679
4.26	18300	0.311	0.193	-0.06690	0.689
4.36	23000	0.311	0.191	-0.06270	0.685
4.46	29000	0.311	0.191	-0.06370	0.686
4.56	36500	0.311	0.191	-0.06370	0.686
4.66	45900	0.311	0.194	-0.06900	0.691
4.76	57800	0.311	0.201	-0.08300	0.705
4.86	72800	0.311	0.208	-0.09630	0.718
4.96	91600	0.311	0.212	-0.10500	0.727
5.06	115000	0.311	0.218	-0.11700	0.739
5.16	145000	0.311	0.223	-0.12500	0.747
5.26	183000	0.330	0.242	-0.14500	0.805
5.36	230000	0.366	0.240	-0.10500	0.837
5.46	290000	0.391	0.285	-0.16800	0.949
5.56	365000	0.710	0.163	0.39000	1.030

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00902	0.00139	6.29e-03	0.01170
2.5	317	0.00917	0.00191	5.42e-03	0.01290
2.6	399	0.00917	0.00191	5.42e-03	0.01290
2.7	503	0.00919	0.00192	5.43e-03	0.01300
2.8	633	0.00927	0.00193	5.48e-03	0.01300
2.9	796	0.00932	0.00194	5.51e-03	0.01310
3.0	1000	0.00932	0.00194	5.51e-03	0.01310
3.1	1260	0.00853	0.00184	4.92e-03	0.01210
3.2	1590	0.00848	0.00186	4.83e-03	0.01210
3.3	2000	0.00865	0.00190	4.92e-03	0.01240
3.4	2520	0.00821	0.00186	4.57e-03	0.01190
3.5	3170	0.00741	0.00175	3.98e-03	0.01080
3.6	3990	0.00741	0.00179	3.91e-03	0.01090
3.7	5030	0.00665	0.00169	3.34e-03	0.00997
3.8	6330	0.00586	0.00159	2.74e-03	0.00898
3.9	7960	0.00540	0.00157	2.33e-03	0.00847
4.0	10000	0.00429	0.00146	1.42e-03	0.00716
4.1	12600	0.00305	0.00122	6.53e-04	0.00545
4.2	15900	0.00314	0.00127	6.55e-04	0.00562
4.3	20000	0.00258	0.00111	3.99e-04	0.00476
4.4	25200	0.00233	0.00111	1.51e-04	0.00452
4.5	31700	0.00251	0.00125	7.08e-05	0.00496
4.6	39900	0.00206	0.00116	-2.25e-04	0.00434
4.7	50300	0.00173	0.00120	-6.19e-04	0.00408

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
2.4	252	0.00000	0.00921	0.00139	6.48e-03	0.01190
2.5	317	0.00279	0.00921	0.00191	5.46e-03	0.01300
2.6	399	0.00279	0.00921	0.00191	5.46e-03	0.01300
2.7	503	0.00430	0.00921	0.00192	5.45e-03	0.01300
2.8	633	0.01760	0.00921	0.00193	5.43e-03	0.01300
2.9	796	0.02160	0.00921	0.00194	5.40e-03	0.01300
3.0	1000	0.02210	0.00921	0.00194	5.40e-03	0.01300
3.1	1260	0.02850	0.00855	0.00184	4.95e-03	0.01220
3.2	1590	0.06190	0.00855	0.00186	4.90e-03	0.01220
3.3	2000	0.09140	0.00855	0.00190	4.82e-03	0.01230
3.4	2520	0.11700	0.00821	0.00186	4.57e-03	0.01190
3.5	3170	0.14500	0.00741	0.00175	3.98e-03	0.01080
3.6	3990	0.16300	0.00741	0.00179	3.91e-03	0.01090
3.7	5030	0.20800	0.00665	0.00169	3.34e-03	0.00997
3.8	6330	0.21900	0.00586	0.00159	2.74e-03	0.00898
3.9	7960	0.25500	0.00540	0.00157	2.33e-03	0.00847
4.0	10000	0.30600	0.00429	0.00146	1.42e-03	0.00716
4.1	12600	0.43100	0.00309	0.00122	6.96e-04	0.00549
4.2	15900	0.44500	0.00309	0.00127	6.11e-04	0.00558
4.3	20000	0.47600	0.00258	0.00111	3.99e-04	0.00476
4.4	25200	0.52300	0.00242	0.00111	2.41e-04	0.00461
4.5	31700	0.57000	0.00242	0.00125	-1.99e-05	0.00487
4.6	39900	0.61700	0.00206	0.00116	-2.25e-04	0.00434
4.7	50300	0.66400	0.00173	0.00120	-6.19e-04	0.00408

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.1400	0.0727	0.00584	0.00131	3.28e-03	0.00841
-1.0400	0.0915	0.00592	0.00133	3.31e-03	0.00852
-0.9380	0.1150	0.00592	0.00133	3.31e-03	0.00852
-0.8380	0.1450	0.00592	0.00133	3.31e-03	0.00852
-0.7380	0.1830	0.00592	0.00133	3.31e-03	0.00852
-0.6380	0.2300	0.00599	0.00136	3.32e-03	0.00866
-0.5380	0.2890	0.00603	0.00138	3.33e-03	0.00874
-0.4380	0.3640	0.00603	0.00138	3.33e-03	0.00874
-0.3380	0.4590	0.00606	0.00137	3.38e-03	0.00875
-0.2380	0.5780	0.00606	0.00137	3.38e-03	0.00875
-0.1380	0.7270	0.00613	0.00139	3.42e-03	0.00885
-0.0384	0.9150	0.00618	0.00140	3.44e-03	0.00891
0.0616	1.1500	0.00599	0.00138	3.28e-03	0.00870
0.1620	1.4500	0.00579	0.00136	3.13e-03	0.00845
0.2620	1.8300	0.00582	0.00137	3.14e-03	0.00850
0.3620	2.3000	0.00600	0.00142	3.21e-03	0.00879
0.4620	2.8900	0.00607	0.00145	3.23e-03	0.00890
0.5620	3.6400	0.00617	0.00152	3.20e-03	0.00915
0.6620	4.5900	0.00606	0.00155	3.03e-03	0.00909
0.7620	5.7800	0.00728	0.00197	3.42e-03	0.01110
0.8620	7.2700	0.00740	0.00198	3.51e-03	0.01130
0.9620	9.1500	0.00771	0.00211	3.58e-03	0.01180
1.0600	11.5000	0.00785	0.00218	3.57e-03	0.01210
1.1600	14.5000	0.00845	0.00240	3.75e-03	0.01320
1.2600	18.3000	0.00783	0.00239	3.14e-03	0.01250
1.3600	23.0000	0.00738	0.00223	3.02e-03	0.01180
1.4600	28.9000	0.00632	0.00229	1.82e-03	0.01080
1.5600	36.4000	0.00596	0.00232	1.42e-03	0.01050
1.6600	45.9000	0.00565	0.00241	9.31e-04	0.01040
1.7600	57.8000	0.00680	0.00330	3.27e-04	0.01330
1.8600	72.7000	0.00508	0.00320	-1.20e-03	0.01140
1.9600	91.5000	0.00660	0.00331	9.96e-05	0.01310

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.1400	0.0727	0.00000	0.00640	0.00131	0.003840	0.00896
-1.0400	0.0915	0.00692	0.00640	0.00133	0.003790	0.00900
-0.9380	0.1150	0.00692	0.00640	0.00133	0.003790	0.00900
-0.8380	0.1450	0.00692	0.00640	0.00133	0.003790	0.00900
-0.7380	0.1830	0.00692	0.00640	0.00133	0.003790	0.00900
-0.6380	0.2300	0.01380	0.00640	0.00136	0.003730	0.00907
-0.5380	0.2890	0.01970	0.00640	0.00138	0.003700	0.00910
-0.4380	0.3640	0.01970	0.00640	0.00138	0.003700	0.00910
-0.3380	0.4590	0.02920	0.00640	0.00137	0.003710	0.00908
-0.2380	0.5780	0.02920	0.00640	0.00137	0.003710	0.00908
-0.1380	0.7270	0.04690	0.00640	0.00139	0.003680	0.00911
-0.0384	0.9150	0.06230	0.00640	0.00140	0.003660	0.00914
0.0616	1.1500	0.08050	0.00640	0.00138	0.003690	0.00911
0.1620	1.4500	0.09320	0.00640	0.00136	0.003740	0.00906
0.2620	1.8300	0.10100	0.00640	0.00137	0.003720	0.00908
0.3620	2.3000	0.13200	0.00640	0.00142	0.003610	0.00919
0.4620	2.8900	0.14000	0.00640	0.00145	0.003560	0.00923
0.5620	3.6400	0.20100	0.00640	0.00152	0.003420	0.00937
0.6620	4.5900	0.22000	0.00640	0.00155	0.003370	0.00943
0.7620	5.7800	0.29600	0.00640	0.00197	0.002540	0.01030
0.8620	7.2700	0.31300	0.00640	0.00198	0.002520	0.01030
0.9620	9.1500	0.34100	0.00640	0.00211	0.002270	0.01050
1.0600	11.5000	0.34800	0.00640	0.00218	0.002120	0.01070
1.1600	14.5000	0.38500	0.00640	0.00240	0.001690	0.01110
1.2600	18.3000	0.42600	0.00640	0.00239	0.001700	0.01110
1.3600	23.0000	0.47100	0.00640	0.00223	0.002030	0.01080
1.4600	28.9000	0.56700	0.00632	0.00229	0.001820	0.01080
1.5600	36.4000	0.61600	0.00614	0.00232	0.001600	0.01070
1.6600	45.9000	0.64500	0.00614	0.00241	0.001420	0.01090
1.7600	57.8000	0.69100	0.00614	0.00330	-0.000334	0.01260
1.8600	72.7000	0.75100	0.00584	0.00320	-0.000442	0.01210
1.9600	91.5000	0.80000	0.00584	0.00331	-0.000658	0.01230

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.1400	0.0727	0.290	0.178	-0.0581	0.639
-1.0400	0.0915	0.290	0.181	-0.0639	0.645
-0.9380	0.1150	0.290	0.181	-0.0639	0.645
-0.8380	0.1450	0.290	0.181	-0.0639	0.645
-0.7380	0.1830	0.290	0.181	-0.0639	0.645
-0.6380	0.2300	0.290	0.185	-0.0728	0.654
-0.5380	0.2890	0.290	0.187	-0.0769	0.658
-0.4380	0.3640	0.290	0.187	-0.0769	0.658
-0.3380	0.4590	0.290	0.186	-0.0746	0.655
-0.2380	0.5780	0.290	0.186	-0.0746	0.655
-0.1380	0.7270	0.290	0.188	-0.0789	0.660
-0.0384	0.9150	0.290	0.190	-0.0818	0.663
0.0616	1.1500	0.290	0.188	-0.0777	0.659
0.1620	1.4500	0.290	0.185	-0.0714	0.652
0.2620	1.8300	0.290	0.186	-0.0738	0.655
0.3620	2.3000	0.290	0.194	-0.0889	0.670
0.4620	2.8900	0.290	0.197	-0.0952	0.676
0.5620	3.6400	0.290	0.206	-0.1140	0.695
0.6620	4.5900	0.290	0.210	-0.1220	0.702
0.7620	5.7800	0.290	0.268	-0.2340	0.815
0.8620	7.2700	0.290	0.269	-0.2380	0.818
0.9620	9.1500	0.290	0.287	-0.2710	0.852
1.0600	11.5000	0.290	0.297	-0.2920	0.873
1.1600	14.5000	0.290	0.326	-0.3490	0.930
1.2600	18.3000	0.290	0.326	-0.3480	0.929
1.3600	23.0000	0.290	0.303	-0.3030	0.884
1.4600	28.9000	0.300	0.310	-0.3080	0.908
1.5600	36.4000	0.320	0.311	-0.2890	0.929
1.6600	45.9000	0.320	0.323	-0.3130	0.952
1.7600	57.8000	0.320	0.443	-0.5480	1.190
1.8600	72.7000	0.352	0.423	-0.4770	1.180
1.9600	91.5000	0.352	0.438	-0.5060	1.210

nAb ID50 Reference

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00522	0.00105	0.003170	0.00727
1.4	25.2	0.00596	0.00132	0.003370	0.00854
1.5	31.7	0.00596	0.00132	0.003370	0.00854
1.6	39.9	0.00596	0.00132	0.003370	0.00854
1.7	50.2	0.00596	0.00132	0.003370	0.00854
1.8	63.2	0.00596	0.00132	0.003370	0.00854
1.9	79.6	0.00596	0.00132	0.003370	0.00854
2.0	100.0	0.00596	0.00132	0.003370	0.00855
2.1	126.0	0.00602	0.00133	0.003410	0.00863
2.2	159.0	0.00610	0.00136	0.003430	0.00877
2.3	200.0	0.00609	0.00134	0.003460	0.00872
2.4	252.0	0.00609	0.00134	0.003470	0.00871
2.5	317.0	0.00610	0.00134	0.003480	0.00871
2.6	399.0	0.00584	0.00130	0.003290	0.00840
2.7	502.0	0.00562	0.00128	0.003110	0.00814
2.8	632.0	0.00572	0.00131	0.003150	0.00829
2.9	796.0	0.00577	0.00133	0.003170	0.00838
3.0	1000.0	0.00557	0.00131	0.003010	0.00813
3.1	1260.0	0.00561	0.00132	0.003020	0.00819
3.2	1590.0	0.00570	0.00135	0.003050	0.00834
3.3	2000.0	0.00575	0.00136	0.003080	0.00842
3.4	2520.0	0.00590	0.00141	0.003140	0.00866
3.5	3170.0	0.00570	0.00138	0.003010	0.00840
3.6	3990.0	0.00574	0.00142	0.002950	0.00853
3.7	5020.0	0.00606	0.00153	0.003080	0.00905
3.8	6320.0	0.00607	0.00157	0.002990	0.00914
3.9	7960.0	0.00460	0.00137	0.001910	0.00730
4.0	10000.0	0.00402	0.00138	0.001310	0.00673
4.1	12600.0	0.00359	0.00134	0.000961	0.00622
4.2	15900.0	0.00357	0.00142	0.000793	0.00634
4.3	20000.0	0.00376	0.00183	0.000171	0.00735

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.0000	0.00595	0.00105	3.90e-03	0.00800
1.4	25.2	0.0122	0.00595	0.00132	3.36e-03	0.00853
1.5	31.7	0.0122	0.00595	0.00132	3.36e-03	0.00853
1.6	39.9	0.0122	0.00595	0.00132	3.36e-03	0.00853
1.7	50.2	0.0122	0.00595	0.00132	3.36e-03	0.00853
1.8	63.2	0.0122	0.00595	0.00132	3.36e-03	0.00853
1.9	79.6	0.0122	0.00595	0.00132	3.36e-03	0.00853
2.0	100.0	0.0127	0.00595	0.00132	3.36e-03	0.00853
2.1	126.0	0.0221	0.00595	0.00133	3.34e-03	0.00855
2.2	159.0	0.0297	0.00595	0.00136	3.28e-03	0.00862
2.3	200.0	0.0336	0.00595	0.00134	3.31e-03	0.00858
2.4	252.0	0.0366	0.00595	0.00134	3.33e-03	0.00857
2.5	317.0	0.0396	0.00595	0.00134	3.33e-03	0.00856
2.6	399.0	0.0398	0.00584	0.00130	3.29e-03	0.00840
2.7	502.0	0.0431	0.00576	0.00128	3.25e-03	0.00828
2.8	632.0	0.0534	0.00576	0.00131	3.19e-03	0.00833
2.9	796.0	0.0634	0.00576	0.00133	3.15e-03	0.00837
3.0	1000.0	0.0750	0.00576	0.00131	3.20e-03	0.00832
3.1	1260.0	0.0784	0.00576	0.00132	3.17e-03	0.00835
3.2	1590.0	0.0921	0.00576	0.00135	3.12e-03	0.00841
3.3	2000.0	0.1010	0.00576	0.00136	3.09e-03	0.00843
3.4	2520.0	0.1240	0.00576	0.00141	3.00e-03	0.00852
3.5	3170.0	0.1590	0.00576	0.00138	3.07e-03	0.00846
3.6	3990.0	0.1880	0.00576	0.00142	2.97e-03	0.00855
3.7	5020.0	0.2290	0.00576	0.00153	2.77e-03	0.00875
3.8	6320.0	0.2670	0.00576	0.00157	2.68e-03	0.00884
3.9	7960.0	0.3050	0.00460	0.00137	1.91e-03	0.00730
4.0	10000.0	0.3750	0.00402	0.00138	1.31e-03	0.00673
4.1	12600.0	0.4860	0.00364	0.00134	1.01e-03	0.00627
4.2	15900.0	0.5560	0.00364	0.00142	8.64e-04	0.00641
4.3	20000.0	0.6910	0.00364	0.00183	5.05e-05	0.00723

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.341	0.139	0.06830	0.613
1.4	25.2	0.341	0.175	-0.00241	0.684
1.5	31.7	0.341	0.175	-0.00241	0.684
1.6	39.9	0.341	0.175	-0.00241	0.684
1.7	50.2	0.341	0.175	-0.00241	0.684
1.8	63.2	0.341	0.175	-0.00241	0.684
1.9	79.6	0.341	0.175	-0.00241	0.684
2.0	100.0	0.341	0.175	-0.00284	0.684
2.1	126.0	0.341	0.177	-0.00586	0.687
2.2	159.0	0.341	0.181	-0.01400	0.695
2.3	200.0	0.341	0.178	-0.00899	0.690
2.4	252.0	0.341	0.178	-0.00731	0.689
2.5	317.0	0.341	0.177	-0.00711	0.688
2.6	399.0	0.352	0.172	0.01450	0.690
2.7	502.0	0.361	0.169	0.03020	0.692
2.8	632.0	0.361	0.173	0.02240	0.700
2.9	796.0	0.361	0.175	0.01820	0.704
3.0	1000.0	0.361	0.172	0.02400	0.698
3.1	1260.0	0.361	0.174	0.02070	0.702
3.2	1590.0	0.361	0.178	0.01310	0.709
3.3	2000.0	0.361	0.179	0.00943	0.713
3.4	2520.0	0.361	0.185	-0.00228	0.725
3.5	3170.0	0.361	0.181	0.00637	0.716
3.6	3990.0	0.361	0.187	-0.00590	0.728
3.7	5020.0	0.361	0.201	-0.03230	0.755
3.8	6320.0	0.361	0.207	-0.04410	0.766
3.9	7960.0	0.490	0.171	0.15400	0.825
4.0	10000.0	0.554	0.168	0.22600	0.883
4.1	12600.0	0.597	0.160	0.28200	0.911
4.2	15900.0	0.597	0.169	0.26500	0.928
4.3	20000.0	0.597	0.219	0.16800	1.030

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00902	0.00139	0.006290	0.01170
1.4	25.2	0.00781	0.00176	0.004360	0.01130
1.5	31.7	0.00781	0.00176	0.004360	0.01130
1.6	39.9	0.00781	0.00176	0.004360	0.01130
1.7	50.2	0.00783	0.00176	0.004380	0.01130
1.8	63.2	0.00783	0.00176	0.004380	0.01130
1.9	79.6	0.00758	0.00173	0.004180	0.01100
2.0	100.0	0.00733	0.00171	0.003980	0.01070
2.1	126.0	0.00748	0.00174	0.004070	0.01090
2.2	159.0	0.00660	0.00163	0.003400	0.00980
2.3	200.0	0.00561	0.00150	0.002680	0.00854
2.4	252.0	0.00536	0.00152	0.002390	0.00833
2.5	317.0	0.00511	0.00150	0.002180	0.00804
2.6	399.0	0.00444	0.00140	0.001700	0.00719
2.7	502.0	0.00450	0.00142	0.001710	0.00728
2.8	632.0	0.00418	0.00139	0.001460	0.00691
2.9	796.0	0.00271	0.00116	0.000435	0.00498
3.0	1000.0	0.00218	0.00105	0.000110	0.00424
3.1	1260.0	0.00223	0.00108	0.000117	0.00435
3.2	1590.0	0.00245	0.00116	0.000164	0.00473
3.3	2000.0	0.00256	0.00122	0.000174	0.00494
3.4	2520.0	0.00211	0.00115	-0.000153	0.00437

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.000	0.00902	0.00139	6.29e-03	0.01170
1.4	25.2	0.210	0.00782	0.00176	4.37e-03	0.01130
1.5	31.7	0.210	0.00782	0.00176	4.37e-03	0.01130
1.6	39.9	0.210	0.00782	0.00176	4.37e-03	0.01130
1.7	50.2	0.211	0.00782	0.00176	4.36e-03	0.01130
1.8	63.2	0.212	0.00782	0.00176	4.36e-03	0.01130
1.9	79.6	0.214	0.00758	0.00173	4.18e-03	0.01100
2.0	100.0	0.226	0.00741	0.00171	4.06e-03	0.01080
2.1	126.0	0.235	0.00741	0.00174	4.00e-03	0.01080
2.2	159.0	0.243	0.00660	0.00163	3.40e-03	0.00980
2.3	200.0	0.258	0.00561	0.00150	2.68e-03	0.00854
2.4	252.0	0.282	0.00536	0.00152	2.39e-03	0.00833
2.5	317.0	0.298	0.00511	0.00150	2.18e-03	0.00804
2.6	399.0	0.316	0.00447	0.00140	1.72e-03	0.00721
2.7	502.0	0.323	0.00447	0.00142	1.68e-03	0.00725
2.8	632.0	0.347	0.00418	0.00139	1.46e-03	0.00691
2.9	796.0	0.388	0.00271	0.00116	4.35e-04	0.00498
3.0	1000.0	0.438	0.00235	0.00105	2.87e-04	0.00442
3.1	1260.0	0.461	0.00235	0.00108	2.36e-04	0.00447
3.2	1590.0	0.528	0.00235	0.00116	7.28e-05	0.00463
3.3	2000.0	0.560	0.00235	0.00122	-3.14e-05	0.00474
3.4	2520.0	0.605	0.00211	0.00115	-1.53e-04	0.00437

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.4400	0.0360	0.00522	0.00105	3.17e-03	0.00727
-1.3400	0.0454	0.00578	0.00126	3.32e-03	0.00825
-1.2400	0.0571	0.00578	0.00126	3.32e-03	0.00825
-1.1400	0.0719	0.00578	0.00126	3.32e-03	0.00825
-1.0400	0.0905	0.00578	0.00126	3.32e-03	0.00825
-0.9430	0.1140	0.00578	0.00126	3.32e-03	0.00825
-0.8430	0.1430	0.00579	0.00126	3.33e-03	0.00825
-0.7430	0.1810	0.00581	0.00126	3.34e-03	0.00829
-0.6430	0.2270	0.00587	0.00128	3.36e-03	0.00837
-0.5430	0.2860	0.00587	0.00128	3.37e-03	0.00837
-0.4430	0.3600	0.00592	0.00129	3.39e-03	0.00844
-0.3430	0.4540	0.00596	0.00130	3.41e-03	0.00850
-0.2430	0.5710	0.00598	0.00130	3.43e-03	0.00853
-0.1430	0.7190	0.00606	0.00132	3.47e-03	0.00866
-0.0433	0.9050	0.00621	0.00136	3.55e-03	0.00887
0.0567	1.1400	0.00618	0.00139	3.46e-03	0.00890
0.1570	1.4300	0.00632	0.00143	3.53e-03	0.00912
0.2570	1.8100	0.00608	0.00140	3.34e-03	0.00883
0.3570	2.2700	0.00613	0.00142	3.35e-03	0.00890
0.4570	2.8600	0.00587	0.00144	3.05e-03	0.00868
0.5570	3.6000	0.00598	0.00147	3.10e-03	0.00886
0.6570	4.5400	0.00612	0.00151	3.16e-03	0.00908
0.7570	5.7100	0.00626	0.00154	3.25e-03	0.00927
0.8570	7.1900	0.00655	0.00162	3.37e-03	0.00974
0.9570	9.0500	0.00652	0.00164	3.31e-03	0.00973
1.0600	11.4000	0.00738	0.00191	3.64e-03	0.01110
1.1600	14.3000	0.00730	0.00191	3.56e-03	0.01100
1.2600	18.1000	0.00763	0.00201	3.70e-03	0.01160
1.3600	22.7000	0.00601	0.00186	2.37e-03	0.00964
1.4600	28.6000	0.00572	0.00179	2.22e-03	0.00923
1.5600	36.0000	0.00691	0.00208	2.83e-03	0.01100
1.6600	45.4000	0.00620	0.00205	2.18e-03	0.01020
1.7600	57.1000	0.00674	0.00226	2.30e-03	0.01120
1.8600	71.9000	0.00717	0.00258	2.11e-03	0.01220
1.9600	90.5000	0.00669	0.00255	1.70e-03	0.01170
2.0600	114.0000	0.00685	0.00302	9.35e-04	0.01280
2.1600	143.0000	0.00458	0.00237	-6.69e-05	0.00922
2.2600	181.0000	0.00510	0.00267	-1.46e-04	0.01030
2.3600	227.0000	0.00471	0.00285	-8.73e-04	0.01030

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.4400	0.0360	0.00000	0.00614	0.00105	0.004090	0.00819
-1.3400	0.0454	0.00300	0.00614	0.00126	0.003680	0.00860
-1.2400	0.0571	0.00300	0.00614	0.00126	0.003680	0.00860
-1.1400	0.0719	0.00300	0.00614	0.00126	0.003680	0.00860
-1.0400	0.0905	0.00300	0.00614	0.00126	0.003680	0.00860
-0.9430	0.1140	0.00300	0.00614	0.00126	0.003680	0.00860
-0.8430	0.1430	0.00601	0.00614	0.00126	0.003680	0.00860
-0.7430	0.1810	0.01010	0.00614	0.00126	0.003670	0.00861
-0.6430	0.2270	0.01420	0.00614	0.00128	0.003640	0.00864
-0.5430	0.2860	0.01470	0.00614	0.00128	0.003640	0.00864
-0.4430	0.3600	0.02790	0.00614	0.00129	0.003620	0.00866
-0.3430	0.4540	0.03480	0.00614	0.00130	0.003600	0.00868
-0.2430	0.5710	0.04160	0.00614	0.00130	0.003590	0.00869
-0.1430	0.7190	0.05530	0.00614	0.00132	0.003550	0.00873
-0.0433	0.9050	0.08310	0.00614	0.00136	0.003480	0.00880
0.0567	1.1400	0.09730	0.00614	0.00139	0.003420	0.00886
0.1570	1.4300	0.11200	0.00614	0.00143	0.003340	0.00894
0.2570	1.8100	0.11700	0.00614	0.00140	0.003390	0.00889
0.3570	2.2700	0.12100	0.00614	0.00142	0.003360	0.00892
0.4570	2.8600	0.16100	0.00614	0.00144	0.003330	0.00895
0.5570	3.6000	0.18200	0.00614	0.00147	0.003260	0.00902
0.6570	4.5400	0.20200	0.00614	0.00151	0.003180	0.00910
0.7570	5.7100	0.23700	0.00614	0.00154	0.003130	0.00915
0.8570	7.1900	0.26900	0.00614	0.00162	0.002960	0.00932
0.9570	9.0500	0.29600	0.00614	0.00164	0.002930	0.00935
1.0600	11.4000	0.33000	0.00614	0.00191	0.002400	0.00988
1.1600	14.3000	0.36900	0.00614	0.00191	0.002400	0.00988
1.2600	18.1000	0.39200	0.00614	0.00201	0.002210	0.01010
1.3600	22.7000	0.41500	0.00614	0.00186	0.002500	0.00978
1.4600	28.6000	0.46700	0.00614	0.00179	0.002630	0.00965
1.5600	36.0000	0.52000	0.00614	0.00208	0.002060	0.01020
1.6600	45.4000	0.56200	0.00614	0.00205	0.002120	0.01020
1.7600	57.1000	0.59400	0.00614	0.00226	0.001710	0.01060
1.8600	71.9000	0.64900	0.00614	0.00258	0.001080	0.01120
1.9600	90.5000	0.69000	0.00614	0.00255	0.001150	0.01110
2.0600	114.0000	0.74000	0.00614	0.00302	0.000225	0.01210
2.1600	143.0000	0.77800	0.00484	0.00237	0.000193	0.00948
2.2600	181.0000	0.80300	0.00484	0.00267	-0.000406	0.01010
2.3600	227.0000	0.83000	0.00471	0.00285	-0.000873	0.01030

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.4400	0.0360	0.319	0.140	0.0440	0.594
-1.3400	0.0454	0.319	0.169	-0.0113	0.649
-1.2400	0.0571	0.319	0.169	-0.0113	0.649
-1.1400	0.0719	0.319	0.169	-0.0113	0.649
-1.0400	0.0905	0.319	0.169	-0.0113	0.649
-0.9430	0.1140	0.319	0.169	-0.0113	0.649
-0.8430	0.1430	0.319	0.169	-0.0113	0.649
-0.7430	0.1810	0.319	0.169	-0.0127	0.651
-0.6430	0.2270	0.319	0.171	-0.0164	0.655
-0.5430	0.2860	0.319	0.171	-0.0164	0.655
-0.4430	0.3600	0.319	0.173	-0.0195	0.658
-0.3430	0.4540	0.319	0.174	-0.0222	0.660
-0.2430	0.5710	0.319	0.175	-0.0232	0.661
-0.1430	0.7190	0.319	0.177	-0.0288	0.667
-0.0433	0.9050	0.319	0.182	-0.0380	0.676
0.0567	1.1400	0.319	0.186	-0.0457	0.684
0.1570	1.4300	0.319	0.192	-0.0564	0.695
0.2570	1.8100	0.319	0.188	-0.0494	0.688
0.3570	2.2700	0.319	0.190	-0.0534	0.692
0.4570	2.8600	0.319	0.193	-0.0583	0.696
0.5570	3.6000	0.319	0.197	-0.0669	0.705
0.6570	4.5400	0.319	0.203	-0.0785	0.717
0.7570	5.7100	0.319	0.206	-0.0849	0.723
0.8570	7.1900	0.319	0.218	-0.1080	0.746
0.9570	9.0500	0.319	0.220	-0.1120	0.750
1.0600	11.4000	0.319	0.256	-0.1830	0.821
1.1600	14.3000	0.319	0.256	-0.1830	0.821
1.2600	18.1000	0.319	0.269	-0.2090	0.847
1.3600	22.7000	0.319	0.249	-0.1690	0.807
1.4600	28.6000	0.319	0.240	-0.1510	0.790
1.5600	36.0000	0.319	0.279	-0.2290	0.867
1.6600	45.4000	0.319	0.275	-0.2200	0.858
1.7600	57.1000	0.319	0.304	-0.2760	0.914
1.8600	71.9000	0.319	0.347	-0.3600	0.998
1.9600	90.5000	0.319	0.342	-0.3510	0.989
2.0600	114.0000	0.319	0.405	-0.4750	1.110
2.1600	143.0000	0.464	0.298	-0.1210	1.050
2.2600	181.0000	0.464	0.337	-0.1960	1.120
2.3600	227.0000	0.478	0.356	-0.2210	1.180

nAb ID50 B.1.351

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00522	0.00105	3.17e-03	0.00727
1.4	25.2	0.00600	0.00132	3.41e-03	0.00858
1.5	31.7	0.00600	0.00132	3.41e-03	0.00858
1.6	39.9	0.00600	0.00132	3.41e-03	0.00858
1.7	50.2	0.00600	0.00132	3.41e-03	0.00858
1.8	63.2	0.00600	0.00132	3.41e-03	0.00858
1.9	79.6	0.00604	0.00133	3.43e-03	0.00865
2.0	100.0	0.00610	0.00136	3.44e-03	0.00877
2.1	126.0	0.00612	0.00137	3.44e-03	0.00880
2.2	159.0	0.00618	0.00139	3.45e-03	0.00891
2.3	200.0	0.00572	0.00132	3.14e-03	0.00830
2.4	252.0	0.00573	0.00131	3.15e-03	0.00830
2.5	317.0	0.00577	0.00132	3.18e-03	0.00836
2.6	399.0	0.00583	0.00134	3.19e-03	0.00846
2.7	502.0	0.00555	0.00131	2.99e-03	0.00811
2.8	632.0	0.00567	0.00134	3.05e-03	0.00830
2.9	796.0	0.00569	0.00134	3.06e-03	0.00831
3.0	1000.0	0.00562	0.00137	2.94e-03	0.00831
3.1	1260.0	0.00542	0.00135	2.77e-03	0.00807
3.2	1590.0	0.00559	0.00145	2.76e-03	0.00843
3.3	2000.0	0.00570	0.00147	2.82e-03	0.00857
3.4	2520.0	0.00546	0.00144	2.65e-03	0.00827
3.5	3170.0	0.00465	0.00133	2.04e-03	0.00726
3.6	3990.0	0.00479	0.00137	2.10e-03	0.00747
3.7	5020.0	0.00333	0.00116	1.06e-03	0.00560
3.8	6320.0	0.00321	0.00116	9.31e-04	0.00548
3.9	7960.0	0.00322	0.00125	7.69e-04	0.00568
4.0	10000.0	0.00237	0.00124	-5.19e-05	0.00479

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.0000	0.00596	0.00105	3.91e-03	0.00801
1.4	25.2	0.0187	0.00596	0.00132	3.38e-03	0.00855
1.5	31.7	0.0187	0.00596	0.00132	3.38e-03	0.00855
1.6	39.9	0.0187	0.00596	0.00132	3.38e-03	0.00855
1.7	50.2	0.0187	0.00596	0.00132	3.38e-03	0.00855
1.8	63.2	0.0187	0.00596	0.00132	3.38e-03	0.00855
1.9	79.6	0.0222	0.00596	0.00133	3.35e-03	0.00858
2.0	100.0	0.0287	0.00596	0.00136	3.30e-03	0.00863
2.1	126.0	0.0298	0.00596	0.00137	3.28e-03	0.00865
2.2	159.0	0.0361	0.00596	0.00139	3.23e-03	0.00869
2.3	200.0	0.0466	0.00576	0.00132	3.18e-03	0.00834
2.4	252.0	0.0502	0.00576	0.00131	3.19e-03	0.00834
2.5	317.0	0.0600	0.00576	0.00132	3.17e-03	0.00835
2.6	399.0	0.0662	0.00576	0.00134	3.13e-03	0.00840
2.7	502.0	0.0667	0.00564	0.00131	3.08e-03	0.00820
2.8	632.0	0.0960	0.00564	0.00134	3.01e-03	0.00826
2.9	796.0	0.1010	0.00564	0.00134	3.01e-03	0.00827
3.0	1000.0	0.1310	0.00562	0.00137	2.94e-03	0.00831
3.1	1260.0	0.1400	0.00557	0.00135	2.92e-03	0.00821
3.2	1590.0	0.1650	0.00557	0.00145	2.73e-03	0.00840
3.3	2000.0	0.1930	0.00557	0.00147	2.69e-03	0.00844
3.4	2520.0	0.2040	0.00546	0.00144	2.65e-03	0.00827
3.5	3170.0	0.2340	0.00472	0.00133	2.11e-03	0.00733
3.6	3990.0	0.2860	0.00472	0.00137	2.03e-03	0.00740
3.7	5020.0	0.3750	0.00333	0.00116	1.06e-03	0.00560
3.8	6320.0	0.4160	0.00321	0.00116	9.40e-04	0.00549
3.9	7960.0	0.4900	0.00321	0.00125	7.60e-04	0.00567
4.0	10000.0	0.6000	0.00237	0.00124	-5.19e-05	0.00479

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.339	0.139	0.06600	0.611
1.4	25.2	0.339	0.175	-0.00512	0.682
1.5	31.7	0.339	0.175	-0.00512	0.682
1.6	39.9	0.339	0.175	-0.00512	0.682
1.7	50.2	0.339	0.175	-0.00512	0.682
1.8	63.2	0.339	0.175	-0.00512	0.682
1.9	79.6	0.339	0.177	-0.00899	0.686
2.0	100.0	0.339	0.181	-0.01580	0.693
2.1	126.0	0.339	0.182	-0.01800	0.695
2.2	159.0	0.339	0.185	-0.02450	0.702
2.3	200.0	0.361	0.173	0.02160	0.701
2.4	252.0	0.361	0.173	0.02240	0.700
2.5	317.0	0.361	0.174	0.02010	0.702
2.6	399.0	0.361	0.177	0.01450	0.708
2.7	502.0	0.375	0.171	0.03990	0.710
2.8	632.0	0.375	0.175	0.03140	0.718
2.9	796.0	0.375	0.175	0.03110	0.718
3.0	1000.0	0.377	0.179	0.02590	0.728
3.1	1260.0	0.383	0.176	0.03750	0.728
3.2	1590.0	0.383	0.188	0.01330	0.752
3.3	2000.0	0.383	0.191	0.00822	0.757
3.4	2520.0	0.395	0.186	0.02960	0.759
3.5	3170.0	0.477	0.167	0.15000	0.803
3.6	3990.0	0.477	0.171	0.14100	0.813
3.7	5020.0	0.631	0.137	0.36300	0.899
3.8	6320.0	0.644	0.137	0.37600	0.911
3.9	7960.0	0.644	0.147	0.35500	0.932
4.0	10000.0	0.737	0.142	0.46000	1.010

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00902	0.00139	0.006290	0.01170
1.4	25.2	0.00614	0.00160	0.003010	0.00927
1.5	31.7	0.00614	0.00160	0.003010	0.00927
1.6	39.9	0.00614	0.00160	0.003010	0.00927
1.7	50.2	0.00614	0.00160	0.003010	0.00927
1.8	63.2	0.00571	0.00152	0.002730	0.00869
1.9	79.6	0.00547	0.00150	0.002530	0.00842
2.0	100.0	0.00545	0.00155	0.002410	0.00848
2.1	126.0	0.00513	0.00151	0.002170	0.00808
2.2	159.0	0.00458	0.00147	0.001700	0.00747
2.3	200.0	0.00421	0.00141	0.001450	0.00698
2.4	252.0	0.00345	0.00128	0.000951	0.00595
2.5	317.0	0.00351	0.00143	0.000711	0.00632

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.000	0.00902	0.00139	0.006290	0.01170
1.4	25.2	0.280	0.00614	0.00160	0.003010	0.00927
1.5	31.7	0.280	0.00614	0.00160	0.003010	0.00927
1.6	39.9	0.280	0.00614	0.00160	0.003010	0.00927
1.7	50.2	0.280	0.00614	0.00160	0.003010	0.00927
1.8	63.2	0.282	0.00571	0.00152	0.002730	0.00869
1.9	79.6	0.297	0.00547	0.00150	0.002530	0.00842
2.0	100.0	0.319	0.00545	0.00155	0.002410	0.00848
2.1	126.0	0.330	0.00513	0.00151	0.002170	0.00808
2.2	159.0	0.360	0.00458	0.00147	0.001700	0.00747
2.3	200.0	0.384	0.00421	0.00141	0.001450	0.00698
2.4	252.0	0.390	0.00348	0.00128	0.000982	0.00598
2.5	317.0	0.422	0.00348	0.00143	0.000679	0.00628

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.2500	0.0562	0.00522	0.00105	0.003170	0.00727
-1.1500	0.0707	0.00582	0.00127	0.003340	0.00830
-1.0500	0.0890	0.00582	0.00127	0.003340	0.00830
-0.9500	0.1120	0.00582	0.00127	0.003340	0.00830
-0.8500	0.1410	0.00586	0.00127	0.003360	0.00836
-0.7500	0.1780	0.00589	0.00128	0.003380	0.00840
-0.6500	0.2240	0.00589	0.00128	0.003380	0.00840
-0.5500	0.2820	0.00590	0.00128	0.003380	0.00841
-0.4500	0.3540	0.00596	0.00130	0.003410	0.00851
-0.3500	0.4460	0.00601	0.00132	0.003430	0.00859
-0.2500	0.5620	0.00602	0.00131	0.003440	0.00859
-0.1500	0.7070	0.00604	0.00132	0.003450	0.00862
-0.0504	0.8900	0.00607	0.00133	0.003470	0.00867
0.0496	1.1200	0.00611	0.00137	0.003420	0.00880
0.1500	1.4100	0.00613	0.00138	0.003430	0.00884
0.2500	1.7800	0.00618	0.00139	0.003450	0.00892
0.3500	2.2400	0.00632	0.00143	0.003520	0.00912
0.4500	2.8200	0.00589	0.00139	0.003170	0.00862
0.5500	3.5400	0.00606	0.00144	0.003240	0.00887
0.6500	4.4600	0.00627	0.00151	0.003310	0.00923
0.7500	5.6200	0.00639	0.00153	0.003400	0.00938
0.8500	7.0700	0.00631	0.00154	0.003290	0.00933
0.9500	8.9000	0.00618	0.00155	0.003150	0.00921
1.0500	11.2000	0.00575	0.00153	0.002760	0.00875
1.1500	14.1000	0.00523	0.00148	0.002330	0.00812
1.2500	17.8000	0.00505	0.00146	0.002190	0.00791
1.3500	22.4000	0.00440	0.00137	0.001720	0.00708
1.4500	28.2000	0.00458	0.00143	0.001780	0.00739
1.5500	35.4000	0.00493	0.00156	0.001860	0.00799
1.6500	44.6000	0.00433	0.00151	0.001380	0.00728
1.7500	56.2000	0.00453	0.00160	0.001410	0.00766
1.8500	70.7000	0.00553	0.00198	0.001640	0.00942
1.9500	89.0000	0.00631	0.00220	0.002010	0.01060
2.0500	112.0000	0.00737	0.00258	0.002310	0.01240
2.1500	141.0000	0.00558	0.00239	0.000907	0.01030
2.2500	178.0000	0.00521	0.00240	0.000507	0.00992
2.3500	224.0000	0.00520	0.00271	-0.000110	0.01050

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.2500	0.0562	0.00000	0.00600	0.00105	3.95e-03	0.00805
-1.1500	0.0707	0.00601	0.00600	0.00127	3.52e-03	0.00848
-1.0500	0.0890	0.00601	0.00600	0.00127	3.52e-03	0.00848
-0.9500	0.1120	0.00601	0.00600	0.00127	3.52e-03	0.00848
-0.8500	0.1410	0.01120	0.00600	0.00127	3.50e-03	0.00850
-0.7500	0.1780	0.01810	0.00600	0.00128	3.49e-03	0.00851
-0.6500	0.2240	0.01810	0.00600	0.00128	3.49e-03	0.00851
-0.5500	0.2820	0.02110	0.00600	0.00128	3.49e-03	0.00852
-0.4500	0.3540	0.02540	0.00600	0.00130	3.45e-03	0.00855
-0.3500	0.4460	0.03170	0.00600	0.00132	3.42e-03	0.00858
-0.2500	0.5620	0.03470	0.00600	0.00131	3.43e-03	0.00858
-0.1500	0.7070	0.04140	0.00600	0.00132	3.42e-03	0.00858
-0.0504	0.8900	0.05020	0.00600	0.00133	3.40e-03	0.00860
0.0496	1.1200	0.07930	0.00600	0.00137	3.31e-03	0.00869
0.1500	1.4100	0.08310	0.00600	0.00138	3.30e-03	0.00871
0.2500	1.7800	0.08980	0.00600	0.00139	3.27e-03	0.00873
0.3500	2.2400	0.11400	0.00600	0.00143	3.20e-03	0.00880
0.4500	2.8200	0.13900	0.00600	0.00139	3.28e-03	0.00873
0.5500	3.5400	0.16200	0.00600	0.00144	3.19e-03	0.00882
0.6500	4.4600	0.18600	0.00600	0.00151	3.05e-03	0.00896
0.7500	5.6200	0.21600	0.00600	0.00153	3.01e-03	0.00899
0.8500	7.0700	0.22800	0.00600	0.00154	2.98e-03	0.00902
0.9500	8.9000	0.24500	0.00600	0.00155	2.97e-03	0.00904
1.0500	11.2000	0.27800	0.00575	0.00153	2.76e-03	0.00875
1.1500	14.1000	0.30400	0.00523	0.00148	2.33e-03	0.00812
1.2500	17.8000	0.35500	0.00505	0.00146	2.19e-03	0.00791
1.3500	22.4000	0.36900	0.00463	0.00137	1.95e-03	0.00731
1.4500	28.2000	0.39800	0.00463	0.00143	1.83e-03	0.00744
1.5500	35.4000	0.45000	0.00463	0.00156	1.57e-03	0.00770
1.6500	44.6000	0.46700	0.00463	0.00151	1.68e-03	0.00759
1.7500	56.2000	0.49300	0.00463	0.00160	1.51e-03	0.00776
1.8500	70.7000	0.54800	0.00463	0.00198	7.45e-04	0.00852
1.9500	89.0000	0.60200	0.00463	0.00220	3.28e-04	0.00894
2.0500	112.0000	0.63400	0.00463	0.00258	-4.28e-04	0.00970
2.1500	141.0000	0.66900	0.00463	0.00239	-4.12e-05	0.00931
2.2500	178.0000	0.72800	0.00463	0.00240	-7.25e-05	0.00934
2.3500	224.0000	0.78200	0.00463	0.00271	-6.74e-04	0.00994

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.2500	0.0562	0.335	0.139	6.14e-02	0.608
-1.1500	0.0707	0.335	0.169	3.94e-03	0.665
-1.0500	0.0890	0.335	0.169	3.94e-03	0.665
-0.9500	0.1120	0.335	0.169	3.94e-03	0.665
-0.8500	0.1410	0.335	0.170	1.67e-03	0.667
-0.7500	0.1780	0.335	0.171	-3.64e-05	0.669
-0.6500	0.2240	0.335	0.171	-3.64e-05	0.669
-0.5500	0.2820	0.335	0.171	-4.76e-04	0.669
-0.4500	0.3540	0.335	0.173	-5.10e-03	0.674
-0.3500	0.4460	0.335	0.175	-8.91e-03	0.678
-0.2500	0.5620	0.335	0.175	-8.50e-03	0.678
-0.1500	0.7070	0.335	0.176	-9.56e-03	0.679
-0.0504	0.8900	0.335	0.177	-1.21e-02	0.681
0.0496	1.1200	0.335	0.183	-2.40e-02	0.693
0.1500	1.4100	0.335	0.184	-2.57e-02	0.695
0.2500	1.7800	0.335	0.186	-2.95e-02	0.699
0.3500	2.2400	0.335	0.190	-3.82e-02	0.707
0.4500	2.8200	0.335	0.185	-2.84e-02	0.697
0.5500	3.5400	0.335	0.191	-4.04e-02	0.709
0.6500	4.4600	0.335	0.201	-5.92e-02	0.728
0.7500	5.6200	0.335	0.203	-6.41e-02	0.733
0.8500	7.0700	0.335	0.205	-6.78e-02	0.737
0.9500	8.9000	0.335	0.206	-6.97e-02	0.739
1.0500	11.2000	0.362	0.201	-3.16e-02	0.755
1.1500	14.1000	0.421	0.189	4.92e-02	0.792
1.2500	17.8000	0.440	0.186	7.61e-02	0.804
1.3500	22.4000	0.486	0.170	1.52e-01	0.820
1.4500	28.2000	0.486	0.179	1.36e-01	0.836
1.5500	35.4000	0.486	0.195	1.04e-01	0.868
1.6500	44.6000	0.486	0.188	1.18e-01	0.854
1.7500	56.2000	0.486	0.199	9.62e-02	0.876
1.8500	70.7000	0.486	0.247	1.09e-03	0.971
1.9500	89.0000	0.486	0.274	-5.10e-02	1.020
2.0500	112.0000	0.486	0.322	-1.45e-01	1.120
2.1500	141.0000	0.486	0.297	-9.70e-02	1.070
2.2500	178.0000	0.486	0.299	-1.01e-01	1.070
2.3500	224.0000	0.486	0.338	-1.76e-01	1.150

nAb ID50 BA.1

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00522	0.00105	3.17e-03	0.00727
1.4	25.2	0.00594	0.00135	3.29e-03	0.00860
1.5	31.7	0.00594	0.00135	3.29e-03	0.00860
1.6	39.9	0.00594	0.00135	3.29e-03	0.00860
1.7	50.2	0.00594	0.00135	3.29e-03	0.00860
1.8	63.2	0.00596	0.00136	3.29e-03	0.00863
1.9	79.6	0.00596	0.00136	3.30e-03	0.00863
2.0	100.0	0.00572	0.00132	3.12e-03	0.00831
2.1	126.0	0.00579	0.00134	3.15e-03	0.00842
2.2	159.0	0.00587	0.00136	3.21e-03	0.00854
2.3	200.0	0.00614	0.00144	3.31e-03	0.00896
2.4	252.0	0.00618	0.00143	3.37e-03	0.00898
2.5	317.0	0.00633	0.00148	3.43e-03	0.00922
2.6	399.0	0.00648	0.00152	3.50e-03	0.00947
2.7	502.0	0.00665	0.00157	3.57e-03	0.00973
2.8	632.0	0.00653	0.00157	3.44e-03	0.00962
2.9	796.0	0.00711	0.00173	3.72e-03	0.01050
3.0	1000.0	0.00668	0.00170	3.34e-03	0.01000
3.1	1260.0	0.00699	0.00187	3.33e-03	0.01060
3.2	1590.0	0.00643	0.00181	2.89e-03	0.00998
3.3	2000.0	0.00515	0.00172	1.78e-03	0.00853
3.4	2520.0	0.00271	0.00137	2.84e-05	0.00540
3.5	3170.0	0.00202	0.00127	-4.64e-04	0.00451

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.0000	0.00616	0.00105	4.11e-03	0.00820
1.4	25.2	0.0410	0.00616	0.00135	3.50e-03	0.00881
1.5	31.7	0.0410	0.00616	0.00135	3.50e-03	0.00881
1.6	39.9	0.0410	0.00616	0.00135	3.50e-03	0.00881
1.7	50.2	0.0410	0.00616	0.00135	3.50e-03	0.00881
1.8	63.2	0.0421	0.00616	0.00136	3.49e-03	0.00882
1.9	79.6	0.0423	0.00616	0.00136	3.49e-03	0.00882
2.0	100.0	0.0458	0.00616	0.00132	3.56e-03	0.00875
2.1	126.0	0.0547	0.00616	0.00134	3.52e-03	0.00879
2.2	159.0	0.0745	0.00616	0.00136	3.49e-03	0.00882
2.3	200.0	0.0919	0.00616	0.00144	3.33e-03	0.00898
2.4	252.0	0.1070	0.00616	0.00143	3.35e-03	0.00896
2.5	317.0	0.1280	0.00616	0.00148	3.26e-03	0.00905
2.6	399.0	0.1550	0.00616	0.00152	3.17e-03	0.00914
2.7	502.0	0.1770	0.00616	0.00157	3.07e-03	0.00924
2.8	632.0	0.1990	0.00616	0.00157	3.07e-03	0.00924
2.9	796.0	0.2680	0.00616	0.00173	2.77e-03	0.00954
3.0	1000.0	0.2990	0.00616	0.00170	2.82e-03	0.00949
3.1	1260.0	0.3780	0.00616	0.00187	2.49e-03	0.00982
3.2	1590.0	0.4070	0.00616	0.00181	2.61e-03	0.00970
3.3	2000.0	0.5210	0.00515	0.00172	1.78e-03	0.00853
3.4	2520.0	0.5930	0.00271	0.00137	2.84e-05	0.00540
3.5	3170.0	0.6630	0.00202	0.00127	-4.64e-04	0.00451

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.317	0.140	0.0422	0.593
1.4	25.2	0.317	0.182	-0.0389	0.674
1.5	31.7	0.317	0.182	-0.0389	0.674
1.6	39.9	0.317	0.182	-0.0389	0.674
1.7	50.2	0.317	0.182	-0.0389	0.674
1.8	63.2	0.317	0.183	-0.0411	0.676
1.9	79.6	0.317	0.183	-0.0408	0.676
2.0	100.0	0.317	0.178	-0.0310	0.666
2.1	126.0	0.317	0.181	-0.0364	0.671
2.2	159.0	0.317	0.183	-0.0406	0.675
2.3	200.0	0.317	0.194	-0.0619	0.697
2.4	252.0	0.317	0.192	-0.0595	0.694
2.5	317.0	0.317	0.198	-0.0715	0.706
2.6	399.0	0.317	0.204	-0.0833	0.718
2.7	502.0	0.317	0.211	-0.0966	0.731
2.8	632.0	0.317	0.211	-0.0970	0.732
2.9	796.0	0.317	0.232	-0.1370	0.772
3.0	1000.0	0.317	0.228	-0.1300	0.765
3.1	1260.0	0.317	0.251	-0.1740	0.809
3.2	1590.0	0.317	0.243	-0.1580	0.793
3.3	2000.0	0.429	0.220	-0.0022	0.859
3.4	2520.0	0.699	0.159	0.3880	1.010
3.5	3170.0	0.776	0.144	0.4940	1.060

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00902	0.00139	0.006290	0.01170
1.4	25.2	0.00598	0.00174	0.002570	0.00939
1.5	31.7	0.00598	0.00174	0.002570	0.00939
1.6	39.9	0.00598	0.00174	0.002570	0.00939
1.7	50.2	0.00605	0.00175	0.002620	0.00949
1.8	63.2	0.00622	0.00184	0.002620	0.00983
1.9	79.6	0.00501	0.00163	0.001820	0.00820
2.0	100.0	0.00474	0.00166	0.001490	0.00798
2.1	126.0	0.00356	0.00159	0.000438	0.00669
2.2	159.0	0.00311	0.00154	0.000102	0.00612
2.3	200.0	0.00277	0.00156	-0.000294	0.00583
2.4	252.0	0.00228	0.00147	-0.000604	0.00516

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.000	0.00902	0.00139	0.006290	0.01170
1.4	25.2	0.263	0.00604	0.00174	0.002630	0.00946
1.5	31.7	0.263	0.00604	0.00174	0.002630	0.00946
1.6	39.9	0.263	0.00604	0.00174	0.002630	0.00946
1.7	50.2	0.269	0.00604	0.00175	0.002610	0.00948
1.8	63.2	0.295	0.00604	0.00184	0.002440	0.00965
1.9	79.6	0.299	0.00501	0.00163	0.001820	0.00820
2.0	100.0	0.325	0.00474	0.00166	0.001490	0.00798
2.1	126.0	0.358	0.00356	0.00159	0.000438	0.00669
2.2	159.0	0.382	0.00311	0.00154	0.000102	0.00612
2.3	200.0	0.436	0.00277	0.00156	-0.000294	0.00583
2.4	252.0	0.452	0.00228	0.00147	-0.000604	0.00516

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-0.959	0.110	0.00522	0.00105	3.17e-03	0.00727
-0.859	0.138	0.00559	0.00124	3.16e-03	0.00802
-0.759	0.174	0.00560	0.00125	3.16e-03	0.00805
-0.659	0.219	0.00563	0.00125	3.18e-03	0.00808
-0.559	0.276	0.00563	0.00125	3.18e-03	0.00808
-0.459	0.348	0.00563	0.00125	3.18e-03	0.00808
-0.359	0.437	0.00565	0.00125	3.19e-03	0.00811
-0.259	0.551	0.00566	0.00126	3.20e-03	0.00812
-0.159	0.693	0.00567	0.00126	3.20e-03	0.00813
-0.059	0.873	0.00545	0.00123	3.03e-03	0.00787
0.041	1.100	0.00573	0.00136	3.06e-03	0.00839
0.141	1.380	0.00590	0.00141	3.14e-03	0.00866
0.241	1.740	0.00591	0.00140	3.16e-03	0.00866
0.341	2.190	0.00615	0.00147	3.26e-03	0.00903
0.441	2.760	0.00590	0.00144	3.07e-03	0.00872
0.541	3.480	0.00596	0.00145	3.13e-03	0.00880
0.641	4.370	0.00607	0.00148	3.16e-03	0.00897
0.741	5.510	0.00582	0.00146	2.97e-03	0.00868
0.841	6.930	0.00538	0.00143	2.58e-03	0.00818
0.941	8.730	0.00563	0.00155	2.59e-03	0.00867
1.040	11.000	0.00587	0.00161	2.71e-03	0.00903
1.140	13.800	0.00536	0.00155	2.32e-03	0.00839
1.240	17.400	0.00575	0.00166	2.51e-03	0.00900
1.340	21.900	0.00532	0.00168	2.03e-03	0.00860
1.440	27.600	0.00561	0.00180	2.09e-03	0.00913
1.540	34.800	0.00526	0.00172	1.89e-03	0.00863
1.640	43.700	0.00654	0.00210	2.43e-03	0.01070
1.740	55.100	0.00661	0.00227	2.16e-03	0.01110
1.840	69.300	0.00752	0.00275	2.12e-03	0.01290
1.940	87.300	0.00740	0.00280	1.92e-03	0.01290
2.040	110.000	0.00574	0.00291	5.07e-05	0.01140

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-0.959	0.110	0.00000	0.00572	0.00105	3.67e-03	0.00777
-0.859	0.138	0.00625	0.00572	0.00124	3.29e-03	0.00816
-0.759	0.174	0.00734	0.00572	0.00125	3.28e-03	0.00817
-0.659	0.219	0.01140	0.00572	0.00125	3.27e-03	0.00818
-0.559	0.276	0.01140	0.00572	0.00125	3.27e-03	0.00818
-0.459	0.348	0.01140	0.00572	0.00125	3.27e-03	0.00818
-0.359	0.437	0.01860	0.00572	0.00125	3.27e-03	0.00818
-0.259	0.551	0.02180	0.00572	0.00126	3.26e-03	0.00819
-0.159	0.693	0.02480	0.00572	0.00126	3.26e-03	0.00819
-0.059	0.873	0.03490	0.00572	0.00123	3.31e-03	0.00814
0.041	1.100	0.09180	0.00572	0.00136	3.06e-03	0.00839
0.141	1.380	0.12000	0.00572	0.00141	2.96e-03	0.00849
0.241	1.740	0.12700	0.00572	0.00140	2.97e-03	0.00848
0.341	2.190	0.17400	0.00572	0.00147	2.84e-03	0.00861
0.441	2.760	0.18200	0.00572	0.00144	2.90e-03	0.00855
0.541	3.480	0.20800	0.00572	0.00145	2.89e-03	0.00856
0.641	4.370	0.21900	0.00572	0.00148	2.82e-03	0.00863
0.741	5.510	0.23100	0.00572	0.00146	2.87e-03	0.00858
0.841	6.930	0.25000	0.00570	0.00143	2.90e-03	0.00850
0.941	8.730	0.27400	0.00570	0.00155	2.66e-03	0.00874
1.040	11.000	0.30700	0.00570	0.00161	2.54e-03	0.00886
1.140	13.800	0.35700	0.00570	0.00155	2.66e-03	0.00873
1.240	17.400	0.39900	0.00570	0.00166	2.45e-03	0.00894
1.340	21.900	0.43100	0.00570	0.00168	2.41e-03	0.00898
1.440	27.600	0.45700	0.00570	0.00180	2.18e-03	0.00922
1.540	34.800	0.51200	0.00570	0.00172	2.33e-03	0.00907
1.640	43.700	0.57000	0.00570	0.00210	1.59e-03	0.00981
1.740	55.100	0.60600	0.00570	0.00227	1.25e-03	0.01020
1.840	69.300	0.66500	0.00570	0.00275	3.00e-04	0.01110
1.940	87.300	0.73500	0.00570	0.00280	2.19e-04	0.01120
2.040	110.000	0.77600	0.00570	0.00291	4.30e-06	0.01140

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-0.959	0.110	0.365	0.137	0.09590	0.634
-0.859	0.138	0.365	0.163	0.04580	0.685
-0.759	0.174	0.365	0.164	0.04430	0.686
-0.659	0.219	0.365	0.164	0.04310	0.687
-0.559	0.276	0.365	0.164	0.04310	0.687
-0.459	0.348	0.365	0.164	0.04310	0.687
-0.359	0.437	0.365	0.165	0.04230	0.688
-0.259	0.551	0.365	0.165	0.04180	0.688
-0.159	0.693	0.365	0.165	0.04140	0.689
-0.059	0.873	0.365	0.162	0.04750	0.683
0.041	1.100	0.365	0.178	0.01560	0.715
0.141	1.380	0.365	0.185	0.00242	0.728
0.241	1.740	0.365	0.184	0.00386	0.726
0.341	2.190	0.365	0.193	-0.01370	0.744
0.441	2.760	0.365	0.190	-0.00638	0.737
0.541	3.480	0.365	0.190	-0.00748	0.738
0.641	4.370	0.365	0.195	-0.01620	0.746
0.741	5.510	0.365	0.191	-0.01010	0.740
0.841	6.930	0.368	0.188	0.00042	0.736
0.941	8.730	0.368	0.204	-0.03090	0.767
1.040	11.000	0.368	0.211	-0.04630	0.782
1.140	13.800	0.368	0.203	-0.03000	0.766
1.240	17.400	0.368	0.217	-0.05780	0.794
1.340	21.900	0.368	0.220	-0.06290	0.799
1.440	27.600	0.368	0.236	-0.09390	0.830
1.540	34.800	0.368	0.225	-0.07360	0.810
1.640	43.700	0.368	0.275	-0.17100	0.908
1.740	55.100	0.368	0.298	-0.21600	0.952
1.840	69.300	0.368	0.361	-0.34000	1.080
1.940	87.300	0.368	0.367	-0.35100	1.090
2.040	110.000	0.368	0.381	-0.37900	1.120

nAb ID50 BA.2

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00522	0.00105	3.17e-03	0.00727
1.4	25.2	0.00594	0.00136	3.29e-03	0.00860
1.5	31.7	0.00594	0.00136	3.29e-03	0.00860
1.6	39.9	0.00594	0.00136	3.29e-03	0.00860
1.7	50.2	0.00596	0.00136	3.29e-03	0.00864
1.8	63.2	0.00572	0.00133	3.11e-03	0.00833
1.9	79.6	0.00572	0.00133	3.11e-03	0.00833
2.0	100.0	0.00572	0.00132	3.12e-03	0.00831
2.1	126.0	0.00575	0.00133	3.14e-03	0.00835
2.2	159.0	0.00574	0.00132	3.15e-03	0.00833
2.3	200.0	0.00582	0.00135	3.19e-03	0.00846
2.4	252.0	0.00591	0.00138	3.21e-03	0.00861
2.5	317.0	0.00600	0.00140	3.25e-03	0.00874
2.6	399.0	0.00603	0.00140	3.28e-03	0.00877
2.7	502.0	0.00634	0.00150	3.40e-03	0.00928
2.8	632.0	0.00609	0.00148	3.20e-03	0.00899
2.9	796.0	0.00586	0.00149	2.94e-03	0.00879
3.0	1000.0	0.00573	0.00147	2.85e-03	0.00862
3.1	1260.0	0.00567	0.00149	2.76e-03	0.00858
3.2	1590.0	0.00504	0.00145	2.18e-03	0.00789
3.3	2000.0	0.00466	0.00146	1.80e-03	0.00752
3.4	2520.0	0.00334	0.00130	8.05e-04	0.00588
3.5	3170.0	0.00399	0.00157	9.18e-04	0.00707
3.6	3990.0	0.00286	0.00143	4.31e-05	0.00567
3.7	5020.0	0.00338	0.00191	-3.73e-04	0.00712

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.0000	0.00586	0.00105	0.003810	0.00791
1.4	25.2	0.0405	0.00586	0.00136	0.003200	0.00852
1.5	31.7	0.0405	0.00586	0.00136	0.003200	0.00852
1.6	39.9	0.0405	0.00586	0.00136	0.003200	0.00852
1.7	50.2	0.0415	0.00586	0.00136	0.003190	0.00853
1.8	63.2	0.0423	0.00586	0.00133	0.003250	0.00847
1.9	79.6	0.0423	0.00586	0.00133	0.003250	0.00847
2.0	100.0	0.0453	0.00586	0.00132	0.003260	0.00846
2.1	126.0	0.0504	0.00586	0.00133	0.003260	0.00846
2.2	159.0	0.0537	0.00586	0.00132	0.003270	0.00845
2.3	200.0	0.0670	0.00586	0.00135	0.003220	0.00850
2.4	252.0	0.0759	0.00586	0.00138	0.003160	0.00856
2.5	317.0	0.0956	0.00586	0.00140	0.003120	0.00861
2.6	399.0	0.1050	0.00586	0.00140	0.003120	0.00861
2.7	502.0	0.1240	0.00586	0.00150	0.002920	0.00880
2.8	632.0	0.1280	0.00586	0.00148	0.002970	0.00876
2.9	796.0	0.1650	0.00586	0.00149	0.002930	0.00879
3.0	1000.0	0.2120	0.00573	0.00147	0.002850	0.00862
3.1	1260.0	0.2650	0.00567	0.00149	0.002760	0.00858
3.2	1590.0	0.3330	0.00504	0.00145	0.002180	0.00789
3.3	2000.0	0.3890	0.00466	0.00146	0.001800	0.00752
3.4	2520.0	0.4460	0.00367	0.00130	0.001130	0.00621
3.5	3170.0	0.5660	0.00367	0.00157	0.000594	0.00674
3.6	3990.0	0.6330	0.00312	0.00143	0.000303	0.00593
3.7	5020.0	0.7300	0.00312	0.00191	-0.000633	0.00686

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.350	0.138	0.07890	0.621
1.4	25.2	0.350	0.179	-0.00144	0.702
1.5	31.7	0.350	0.179	-0.00144	0.702
1.6	39.9	0.350	0.179	-0.00144	0.702
1.7	50.2	0.350	0.180	-0.00364	0.704
1.8	63.2	0.350	0.176	0.00506	0.695
1.9	79.6	0.350	0.176	0.00506	0.695
2.0	100.0	0.350	0.175	0.00667	0.693
2.1	126.0	0.350	0.176	0.00572	0.694
2.2	159.0	0.350	0.175	0.00739	0.693
2.3	200.0	0.350	0.178	0.00118	0.699
2.4	252.0	0.350	0.182	-0.00703	0.707
2.5	317.0	0.350	0.185	-0.01290	0.713
2.6	399.0	0.350	0.185	-0.01300	0.713
2.7	502.0	0.350	0.199	-0.03930	0.739
2.8	632.0	0.350	0.195	-0.03270	0.733
2.9	796.0	0.350	0.197	-0.03710	0.737
3.0	1000.0	0.364	0.193	-0.01450	0.743
3.1	1260.0	0.371	0.195	-0.01030	0.752
3.2	1590.0	0.441	0.185	0.07930	0.804
3.3	2000.0	0.483	0.182	0.12600	0.841
3.4	2520.0	0.593	0.155	0.28900	0.897
3.5	3170.0	0.593	0.188	0.22500	0.961
3.6	3990.0	0.654	0.168	0.32400	0.984
3.7	5020.0	0.654	0.224	0.21500	1.090

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00902	0.00139	6.29e-03	0.01170
1.4	25.2	0.00577	0.00162	2.59e-03	0.00896
1.5	31.7	0.00577	0.00162	2.59e-03	0.00896
1.6	39.9	0.00577	0.00162	2.59e-03	0.00896
1.7	50.2	0.00589	0.00168	2.60e-03	0.00917
1.8	63.2	0.00554	0.00163	2.35e-03	0.00874
1.9	79.6	0.00487	0.00154	1.86e-03	0.00788
2.0	100.0	0.00414	0.00142	1.36e-03	0.00692
2.1	126.0	0.00325	0.00141	4.97e-04	0.00601
2.2	159.0	0.00244	0.00122	4.41e-05	0.00483
2.3	200.0	0.00207	0.00109	-6.31e-05	0.00421
2.4	252.0	0.00205	0.00102	4.42e-05	0.00405

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.000	0.00902	0.00139	6.29e-03	0.01170
1.4	25.2	0.259	0.00580	0.00162	2.62e-03	0.00899
1.5	31.7	0.259	0.00580	0.00162	2.62e-03	0.00899
1.6	39.9	0.259	0.00580	0.00162	2.62e-03	0.00899
1.7	50.2	0.267	0.00580	0.00168	2.52e-03	0.00908
1.8	63.2	0.272	0.00554	0.00163	2.35e-03	0.00874
1.9	79.6	0.288	0.00487	0.00154	1.86e-03	0.00788
2.0	100.0	0.295	0.00414	0.00142	1.36e-03	0.00692
2.1	126.0	0.347	0.00325	0.00141	4.97e-04	0.00601
2.2	159.0	0.354	0.00244	0.00122	4.40e-05	0.00483
2.3	200.0	0.415	0.00207	0.00109	-6.32e-05	0.00421
2.4	252.0	0.468	0.00205	0.00102	4.42e-05	0.00405

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.5400	0.0290	0.00522	0.00105	0.003170	0.00727
-1.4400	0.0365	0.00580	0.00126	0.003320	0.00827
-1.3400	0.0459	0.00580	0.00126	0.003320	0.00827
-1.2400	0.0578	0.00582	0.00127	0.003340	0.00831
-1.1400	0.0728	0.00586	0.00128	0.003350	0.00836
-1.0400	0.0917	0.00586	0.00128	0.003350	0.00836
-0.9380	0.1150	0.00564	0.00126	0.003170	0.00811
-0.8380	0.1450	0.00564	0.00126	0.003170	0.00811
-0.7380	0.1830	0.00566	0.00126	0.003180	0.00814
-0.6380	0.2300	0.00568	0.00126	0.003200	0.00816
-0.5380	0.2900	0.00569	0.00126	0.003210	0.00817
-0.4380	0.3650	0.00571	0.00127	0.003220	0.00819
-0.3380	0.4590	0.00571	0.00127	0.003220	0.00820
-0.2380	0.5780	0.00571	0.00127	0.003220	0.00820
-0.1380	0.7280	0.00573	0.00127	0.003230	0.00822
-0.0378	0.9170	0.00549	0.00125	0.003050	0.00794
0.0622	1.1500	0.00598	0.00139	0.003260	0.00871
0.1620	1.4500	0.00603	0.00140	0.003280	0.00878
0.2620	1.8300	0.00627	0.00147	0.003400	0.00915
0.3620	2.3000	0.00636	0.00149	0.003440	0.00927
0.4620	2.9000	0.00626	0.00152	0.003280	0.00924
0.5620	3.6500	0.00604	0.00150	0.003110	0.00897
0.6620	4.5900	0.00610	0.00149	0.003170	0.00903
0.7620	5.7800	0.00588	0.00148	0.002980	0.00878
0.8620	7.2800	0.00604	0.00152	0.003060	0.00903
0.9620	9.1700	0.00614	0.00155	0.003110	0.00917
1.0600	11.5000	0.00637	0.00167	0.003100	0.00964
1.1600	14.5000	0.00659	0.00172	0.003220	0.00995
1.2600	18.3000	0.00643	0.00178	0.002940	0.00991
1.3600	23.0000	0.00667	0.00191	0.002930	0.01040
1.4600	29.0000	0.00552	0.00176	0.002080	0.00897
1.5600	36.5000	0.00616	0.00201	0.002210	0.01010
1.6600	45.9000	0.00621	0.00216	0.001980	0.01040
1.7600	57.8000	0.00745	0.00262	0.002310	0.01260
1.8600	72.8000	0.00712	0.00253	0.002170	0.01210
1.9600	91.7000	0.00684	0.00261	0.001720	0.01200
2.0600	115.0000	0.00490	0.00231	0.000368	0.00943
2.1600	145.0000	0.00548	0.00254	0.000500	0.01050
2.2600	183.0000	0.00662	0.00390	-0.001030	0.01430

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.5400	0.0290	0.00000	0.00596	0.00105	0.003910	0.00801
-1.4400	0.0365	0.00300	0.00596	0.00126	0.003490	0.00843
-1.3400	0.0459	0.00300	0.00596	0.00126	0.003490	0.00843
-1.2400	0.0578	0.00601	0.00596	0.00127	0.003470	0.00844
-1.1400	0.0728	0.00901	0.00596	0.00128	0.003450	0.00847
-1.0400	0.0917	0.00901	0.00596	0.00128	0.003450	0.00847
-0.9380	0.1150	0.01030	0.00596	0.00126	0.003490	0.00842
-0.8380	0.1450	0.01030	0.00596	0.00126	0.003490	0.00842
-0.7380	0.1830	0.01330	0.00596	0.00126	0.003480	0.00844
-0.6380	0.2300	0.02130	0.00596	0.00126	0.003480	0.00844
-0.5380	0.2900	0.02730	0.00596	0.00126	0.003480	0.00844
-0.4380	0.3650	0.03330	0.00596	0.00127	0.003470	0.00844
-0.3380	0.4590	0.03410	0.00596	0.00127	0.003470	0.00845
-0.2380	0.5780	0.03410	0.00596	0.00127	0.003470	0.00845
-0.1380	0.7280	0.03790	0.00596	0.00127	0.003460	0.00845
-0.0378	0.9170	0.04260	0.00596	0.00125	0.003520	0.00840
0.0622	1.1500	0.09540	0.00596	0.00139	0.003230	0.00869
0.1620	1.4500	0.10200	0.00596	0.00140	0.003210	0.00871
0.2620	1.8300	0.14700	0.00596	0.00147	0.003080	0.00884
0.3620	2.3000	0.16500	0.00596	0.00149	0.003040	0.00887
0.4620	2.9000	0.18400	0.00596	0.00152	0.002980	0.00893
0.5620	3.6500	0.19700	0.00596	0.00150	0.003030	0.00889
0.6620	4.5900	0.21900	0.00596	0.00149	0.003030	0.00889
0.7620	5.7800	0.22800	0.00596	0.00148	0.003060	0.00886
0.8620	7.2800	0.25900	0.00596	0.00152	0.002980	0.00894
0.9620	9.1700	0.27800	0.00596	0.00155	0.002930	0.00899
1.0600	11.5000	0.32800	0.00596	0.00167	0.002690	0.00922
1.1600	14.5000	0.35700	0.00596	0.00172	0.002590	0.00932
1.2600	18.3000	0.41800	0.00596	0.00178	0.002470	0.00944
1.3600	23.0000	0.45300	0.00596	0.00191	0.002210	0.00970
1.4600	29.0000	0.46000	0.00596	0.00176	0.002510	0.00941
1.5600	36.5000	0.49300	0.00596	0.00201	0.002010	0.00991
1.6600	45.9000	0.52500	0.00596	0.00216	0.001730	0.01020
1.7600	57.8000	0.59400	0.00596	0.00262	0.000814	0.01110
1.8600	72.8000	0.64800	0.00596	0.00253	0.001010	0.01090
1.9600	91.7000	0.68100	0.00596	0.00261	0.000844	0.01110
2.0600	115.0000	0.74000	0.00567	0.00231	0.001140	0.01020
2.1600	145.0000	0.77600	0.00567	0.00254	0.000682	0.01060
2.2600	183.0000	0.85300	0.00567	0.00390	-0.001980	0.01330

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.5400	0.0290	0.339	0.139	0.06680	0.612
-1.4400	0.0365	0.339	0.168	0.01080	0.668
-1.3400	0.0459	0.339	0.168	0.01080	0.668
-1.2400	0.0578	0.339	0.169	0.00873	0.670
-1.1400	0.0728	0.339	0.170	0.00594	0.673
-1.0400	0.0917	0.339	0.170	0.00594	0.673
-0.9380	0.1150	0.339	0.167	0.01160	0.667
-0.8380	0.1450	0.339	0.167	0.01160	0.667
-0.7380	0.1830	0.339	0.168	0.01000	0.668
-0.6380	0.2300	0.339	0.168	0.00986	0.669
-0.5380	0.2900	0.339	0.168	0.00981	0.669
-0.4380	0.3650	0.339	0.169	0.00899	0.670
-0.3380	0.4590	0.339	0.169	0.00869	0.670
-0.2380	0.5780	0.339	0.169	0.00869	0.670
-0.1380	0.7280	0.339	0.169	0.00754	0.671
-0.0378	0.9170	0.339	0.166	0.01470	0.664
0.0622	1.1500	0.339	0.185	-0.02330	0.702
0.1620	1.4500	0.339	0.187	-0.02660	0.705
0.2620	1.8300	0.339	0.195	-0.04330	0.722
0.3620	2.3000	0.339	0.198	-0.04830	0.727
0.4620	2.9000	0.339	0.202	-0.05630	0.735
0.5620	3.6500	0.339	0.199	-0.05050	0.729
0.6620	4.5900	0.339	0.199	-0.04990	0.728
0.7620	5.7800	0.339	0.197	-0.04640	0.725
0.8620	7.2800	0.339	0.202	-0.05730	0.736
0.9620	9.1700	0.339	0.206	-0.06380	0.742
1.0600	11.5000	0.339	0.221	-0.09480	0.773
1.1600	14.5000	0.339	0.228	-0.10800	0.787
1.2600	18.3000	0.339	0.236	-0.12400	0.802
1.3600	23.0000	0.339	0.254	-0.15900	0.837
1.4600	29.0000	0.339	0.234	-0.11900	0.797
1.5600	36.5000	0.339	0.268	-0.18600	0.864
1.6600	45.9000	0.339	0.286	-0.22200	0.901
1.7600	57.8000	0.339	0.349	-0.34500	1.020
1.8600	72.8000	0.339	0.336	-0.31900	0.997
1.9600	91.7000	0.339	0.347	-0.34100	1.020
2.0600	115.0000	0.372	0.303	-0.22200	0.965
2.1600	145.0000	0.372	0.333	-0.28100	1.020
2.2600	183.0000	0.372	0.511	-0.62900	1.370

nAb ID50 BA.4/5

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00522	0.00105	0.003170	0.00727
1.4	25.2	0.00579	0.00135	0.003140	0.00844
1.5	31.7	0.00579	0.00135	0.003140	0.00844
1.6	39.9	0.00579	0.00135	0.003140	0.00844
1.7	50.2	0.00582	0.00136	0.003150	0.00850
1.8	63.2	0.00582	0.00136	0.003150	0.00850
1.9	79.6	0.00583	0.00136	0.003170	0.00849
2.0	100.0	0.00531	0.00129	0.002790	0.00784
2.1	126.0	0.00531	0.00129	0.002790	0.00784
2.2	159.0	0.00542	0.00132	0.002830	0.00800
2.3	200.0	0.00577	0.00146	0.002910	0.00863
2.4	252.0	0.00582	0.00147	0.002930	0.00870
2.5	317.0	0.00588	0.00147	0.003000	0.00876
2.6	399.0	0.00542	0.00142	0.002650	0.00820
2.7	502.0	0.00515	0.00135	0.002500	0.00781
2.8	632.0	0.00525	0.00137	0.002560	0.00795
2.9	796.0	0.00491	0.00137	0.002220	0.00759
3.0	1000.0	0.00486	0.00141	0.002090	0.00763
3.1	1260.0	0.00480	0.00146	0.001940	0.00766
3.2	1590.0	0.00440	0.00142	0.001620	0.00719
3.3	2000.0	0.00382	0.00136	0.001160	0.00648
3.4	2520.0	0.00359	0.00150	0.000653	0.00652
3.5	3170.0	0.00380	0.00172	0.000436	0.00716
3.6	3990.0	0.00406	0.00219	-0.000235	0.00836

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.0000	0.00572	0.00105	0.003670	0.00777
1.4	25.2	0.0579	0.00572	0.00135	0.003070	0.00837
1.5	31.7	0.0579	0.00572	0.00135	0.003070	0.00837
1.6	39.9	0.0579	0.00572	0.00135	0.003070	0.00837
1.7	50.2	0.0609	0.00572	0.00136	0.003050	0.00840
1.8	63.2	0.0612	0.00572	0.00136	0.003050	0.00840
1.9	79.6	0.0672	0.00572	0.00136	0.003060	0.00838
2.0	100.0	0.0712	0.00558	0.00129	0.003060	0.00810
2.1	126.0	0.0712	0.00558	0.00129	0.003060	0.00810
2.2	159.0	0.0866	0.00558	0.00132	0.002990	0.00817
2.3	200.0	0.1070	0.00558	0.00146	0.002720	0.00844
2.4	252.0	0.1150	0.00558	0.00147	0.002690	0.00847
2.5	317.0	0.1370	0.00558	0.00147	0.002700	0.00846
2.6	399.0	0.1550	0.00542	0.00142	0.002650	0.00820
2.7	502.0	0.1860	0.00520	0.00135	0.002550	0.00786
2.8	632.0	0.2150	0.00520	0.00137	0.002510	0.00790
2.9	796.0	0.2490	0.00491	0.00137	0.002220	0.00759
3.0	1000.0	0.2970	0.00486	0.00141	0.002090	0.00763
3.1	1260.0	0.3600	0.00480	0.00146	0.001940	0.00766
3.2	1590.0	0.4260	0.00440	0.00142	0.001620	0.00719
3.3	2000.0	0.4670	0.00382	0.00136	0.001160	0.00648
3.4	2520.0	0.5750	0.00382	0.00150	0.000883	0.00675
3.5	3170.0	0.6670	0.00382	0.00172	0.000454	0.00718
3.6	3990.0	0.7640	0.00382	0.00219	-0.000483	0.00812

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.365	0.137	0.09620	0.635
1.4	25.2	0.365	0.178	0.01750	0.713
1.5	31.7	0.365	0.178	0.01750	0.713
1.6	39.9	0.365	0.178	0.01750	0.713
1.7	50.2	0.365	0.179	0.01410	0.717
1.8	63.2	0.365	0.179	0.01410	0.717
1.9	79.6	0.365	0.178	0.01620	0.715
2.0	100.0	0.381	0.168	0.05200	0.710
2.1	126.0	0.381	0.168	0.05200	0.710
2.2	159.0	0.381	0.172	0.04400	0.718
2.3	200.0	0.381	0.190	0.00806	0.754
2.4	252.0	0.381	0.192	0.00491	0.757
2.5	317.0	0.381	0.192	0.00556	0.757
2.6	399.0	0.398	0.184	0.03880	0.758
2.7	502.0	0.423	0.173	0.08310	0.763
2.8	632.0	0.423	0.176	0.07810	0.768
2.9	796.0	0.456	0.173	0.11700	0.795
3.0	1000.0	0.461	0.178	0.11200	0.810
3.1	1260.0	0.467	0.183	0.10800	0.827
3.2	1590.0	0.512	0.175	0.16800	0.855
3.3	2000.0	0.577	0.164	0.25600	0.897
3.4	2520.0	0.577	0.180	0.22300	0.930
3.5	3170.0	0.577	0.207	0.17200	0.982
3.6	3990.0	0.577	0.264	0.05890	1.090

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00902	0.001390	0.006290	0.01170
1.4	25.2	0.00425	0.001370	0.001550	0.00694
1.5	31.7	0.00425	0.001370	0.001550	0.00694
1.6	39.9	0.00425	0.001370	0.001550	0.00694
1.7	50.2	0.00453	0.001490	0.001620	0.00744
1.8	63.2	0.00451	0.001420	0.001720	0.00729
1.9	79.6	0.00475	0.001520	0.001780	0.00773
2.0	100.0	0.00361	0.001350	0.000958	0.00625
2.1	126.0	0.00233	0.001070	0.000225	0.00443
2.2	159.0	0.00195	0.000963	0.000058	0.00383
2.3	200.0	0.00152	0.000867	-0.000183	0.00322

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.000	0.00902	0.001390	6.29e-03	0.01170
1.4	25.2	0.278	0.00442	0.001370	1.72e-03	0.00711
1.5	31.7	0.278	0.00442	0.001370	1.72e-03	0.00711
1.6	39.9	0.278	0.00442	0.001370	1.72e-03	0.00711
1.7	50.2	0.307	0.00442	0.001490	1.50e-03	0.00733
1.8	63.2	0.335	0.00442	0.001420	1.63e-03	0.00720
1.9	79.6	0.360	0.00442	0.001520	1.44e-03	0.00739
2.0	100.0	0.385	0.00361	0.001350	9.58e-04	0.00625
2.1	126.0	0.404	0.00233	0.001070	2.25e-04	0.00443
2.2	159.0	0.444	0.00195	0.000963	5.79e-05	0.00383
2.3	200.0	0.462	0.00152	0.000867	-1.84e-04	0.00322

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.3500	0.0443	0.00522	0.00105	0.003170	0.00727
-1.2500	0.0558	0.00580	0.00126	0.003320	0.00827
-1.1500	0.0703	0.00583	0.00127	0.003340	0.00832
-1.0500	0.0885	0.00586	0.00128	0.003360	0.00836
-0.9530	0.1110	0.00588	0.00128	0.003360	0.00839
-0.8530	0.1400	0.00588	0.00128	0.003360	0.00839
-0.7530	0.1770	0.00590	0.00129	0.003370	0.00842
-0.6530	0.2220	0.00592	0.00129	0.003380	0.00846
-0.5530	0.2800	0.00593	0.00129	0.003400	0.00846
-0.4530	0.3520	0.00600	0.00131	0.003430	0.00857
-0.3530	0.4430	0.00600	0.00131	0.003430	0.00857
-0.2530	0.5580	0.00577	0.00128	0.003250	0.00829
-0.1530	0.7030	0.00580	0.00129	0.003270	0.00833
-0.0531	0.8850	0.00580	0.00129	0.003270	0.00833
0.0469	1.1100	0.00600	0.00139	0.003280	0.00872
0.1470	1.4000	0.00605	0.00140	0.003310	0.00879
0.2470	1.7700	0.00612	0.00141	0.003350	0.00889
0.3470	2.2200	0.00602	0.00143	0.003210	0.00883
0.4470	2.8000	0.00595	0.00147	0.003060	0.00884
0.5470	3.5200	0.00609	0.00152	0.003120	0.00907
0.6470	4.4300	0.00587	0.00149	0.002950	0.00879
0.7470	5.5800	0.00531	0.00141	0.002560	0.00807
0.8470	7.0300	0.00472	0.00131	0.002150	0.00730
0.9470	8.8500	0.00485	0.00135	0.002200	0.00750
1.0500	11.1000	0.00516	0.00155	0.002120	0.00821
1.1500	14.0000	0.00575	0.00172	0.002370	0.00913
1.2500	17.7000	0.00544	0.00168	0.002150	0.00872
1.3500	22.2000	0.00534	0.00176	0.001890	0.00878
1.4500	28.0000	0.00526	0.00174	0.001860	0.00866
1.5500	35.2000	0.00575	0.00192	0.001990	0.00950
1.6500	44.3000	0.00604	0.00215	0.001830	0.01020
1.7500	55.8000	0.00728	0.00255	0.002280	0.01230
1.8500	70.3000	0.00779	0.00291	0.002080	0.01350
1.9500	88.5000	0.00593	0.00253	0.000958	0.01090
2.0500	111.0000	0.00676	0.00295	0.000979	0.01250
2.1500	140.0000	0.00707	0.00340	0.000417	0.01370

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.3500	0.0443	0.00000	0.00589	0.00105	0.003840	0.00794
-1.2500	0.0558	0.00300	0.00589	0.00126	0.003420	0.00836
-1.1500	0.0703	0.00601	0.00589	0.00127	0.003400	0.00838
-1.0500	0.0885	0.01200	0.00589	0.00128	0.003390	0.00839
-0.9530	0.1110	0.01310	0.00589	0.00128	0.003370	0.00840
-0.8530	0.1400	0.01310	0.00589	0.00128	0.003370	0.00840
-0.7530	0.1770	0.01610	0.00589	0.00129	0.003360	0.00841
-0.6530	0.2220	0.01720	0.00589	0.00129	0.003350	0.00843
-0.5530	0.2800	0.02410	0.00589	0.00129	0.003350	0.00842
-0.4530	0.3520	0.03190	0.00589	0.00131	0.003320	0.00846
-0.3530	0.4430	0.03190	0.00589	0.00131	0.003320	0.00846
-0.2530	0.5580	0.03870	0.00589	0.00128	0.003370	0.00841
-0.1530	0.7030	0.04860	0.00589	0.00129	0.003360	0.00842
-0.0531	0.8850	0.04860	0.00589	0.00129	0.003360	0.00842
0.0469	1.1100	0.10700	0.00589	0.00139	0.003160	0.00861
0.1470	1.4000	0.11800	0.00589	0.00140	0.003150	0.00863
0.2470	1.7700	0.13500	0.00589	0.00141	0.003120	0.00865
0.3470	2.2200	0.16400	0.00589	0.00143	0.003080	0.00869
0.4470	2.8000	0.18900	0.00589	0.00147	0.003000	0.00878
0.5470	3.5200	0.20900	0.00589	0.00152	0.002910	0.00887
0.6470	4.4300	0.23700	0.00587	0.00149	0.002950	0.00879
0.7470	5.5800	0.26000	0.00548	0.00141	0.002720	0.00824
0.8470	7.0300	0.27700	0.00548	0.00131	0.002910	0.00805
0.9470	8.8500	0.29200	0.00548	0.00135	0.002830	0.00813
1.0500	11.1000	0.34900	0.00548	0.00155	0.002430	0.00853
1.1500	14.0000	0.38000	0.00548	0.00172	0.002100	0.00886
1.2500	17.7000	0.39400	0.00548	0.00168	0.002190	0.00877
1.3500	22.2000	0.43600	0.00548	0.00176	0.002040	0.00892
1.4500	28.0000	0.50400	0.00548	0.00174	0.002080	0.00888
1.5500	35.2000	0.55400	0.00548	0.00192	0.001730	0.00923
1.6500	44.3000	0.60100	0.00548	0.00215	0.001270	0.00969
1.7500	55.8000	0.63500	0.00548	0.00255	0.000483	0.01050
1.8500	70.3000	0.68000	0.00548	0.00291	-0.000233	0.01120
1.9500	88.5000	0.73800	0.00548	0.00253	0.000512	0.01040
2.0500	111.0000	0.78100	0.00548	0.00295	-0.000301	0.01130
2.1500	140.0000	0.83100	0.00548	0.00340	-0.001180	0.01210

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.3500	0.0443	0.347	0.139	0.0757	0.619
-1.2500	0.0558	0.347	0.167	0.0198	0.674
-1.1500	0.0703	0.347	0.168	0.0172	0.677
-1.0500	0.0885	0.347	0.169	0.0158	0.678
-0.9530	0.1110	0.347	0.170	0.0144	0.680
-0.8530	0.1400	0.347	0.170	0.0144	0.680
-0.7530	0.1770	0.347	0.171	0.0127	0.682
-0.6530	0.2220	0.347	0.171	0.0110	0.683
-0.5530	0.2800	0.347	0.171	0.0117	0.683
-0.4530	0.3520	0.347	0.174	0.0066	0.688
-0.3530	0.4430	0.347	0.174	0.0066	0.688
-0.2530	0.5580	0.347	0.170	0.0136	0.681
-0.1530	0.7030	0.347	0.171	0.0120	0.682
-0.0531	0.8850	0.347	0.171	0.0120	0.682
0.0469	1.1100	0.347	0.184	-0.0135	0.708
0.1470	1.4000	0.347	0.185	-0.0156	0.710
0.2470	1.7700	0.347	0.187	-0.0192	0.713
0.3470	2.2200	0.347	0.190	-0.0246	0.719
0.4470	2.8000	0.347	0.195	-0.0356	0.730
0.5470	3.5200	0.347	0.201	-0.0473	0.742
0.6470	4.4300	0.349	0.197	-0.0368	0.736
0.7470	5.5800	0.392	0.182	0.0346	0.750
0.8470	7.0300	0.392	0.170	0.0584	0.726
0.9470	8.8500	0.392	0.176	0.0482	0.736
1.0500	11.1000	0.392	0.202	-0.0030	0.788
1.1500	14.0000	0.392	0.224	-0.0462	0.831
1.2500	17.7000	0.392	0.218	-0.0342	0.819
1.3500	22.2000	0.392	0.228	-0.0544	0.839
1.4500	28.0000	0.392	0.225	-0.0490	0.834
1.5500	35.2000	0.392	0.249	-0.0948	0.879
1.6500	44.3000	0.392	0.279	-0.1540	0.939
1.7500	55.8000	0.392	0.331	-0.2560	1.040
1.8500	70.3000	0.392	0.378	-0.3490	1.130
1.9500	88.5000	0.392	0.329	-0.2520	1.040
2.0500	111.0000	0.392	0.383	-0.3580	1.140
2.1500	140.0000	0.392	0.441	-0.4720	1.260

nAb ID50 Breadth Score

Vaccine

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00522	0.00105	0.003170	0.00727
1.4	25.2	0.00596	0.00132	0.003370	0.00854
1.5	31.7	0.00596	0.00132	0.003370	0.00855
1.6	39.9	0.00597	0.00131	0.003400	0.00853
1.7	50.2	0.00606	0.00134	0.003430	0.00870
1.8	63.2	0.00617	0.00139	0.003450	0.00890
1.9	79.6	0.00593	0.00136	0.003270	0.00860
2.0	100.0	0.00595	0.00137	0.003280	0.00863
2.1	126.0	0.00571	0.00134	0.003100	0.00833
2.2	159.0	0.00571	0.00132	0.003120	0.00831
2.3	200.0	0.00572	0.00132	0.003130	0.00831
2.4	252.0	0.00580	0.00135	0.003160	0.00844
2.5	317.0	0.00587	0.00135	0.003220	0.00852
2.6	399.0	0.00590	0.00136	0.003230	0.00858
2.7	502.0	0.00601	0.00140	0.003270	0.00875
2.8	632.0	0.00609	0.00142	0.003300	0.00888
2.9	796.0	0.00590	0.00146	0.003050	0.00876
3.0	1000.0	0.00593	0.00146	0.003070	0.00879
3.1	1260.0	0.00569	0.00143	0.002900	0.00849
3.2	1590.0	0.00559	0.00144	0.002770	0.00842
3.3	2000.0	0.00561	0.00148	0.002720	0.00851
3.4	2520.0	0.00463	0.00140	0.001900	0.00737
3.5	3170.0	0.00421	0.00137	0.001530	0.00689
3.6	3990.0	0.00418	0.00141	0.001410	0.00694
3.7	5020.0	0.00355	0.00146	0.000700	0.00641
3.8	6320.0	0.00266	0.00144	-0.000171	0.00549

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.0000	0.00590	0.00105	0.003850	0.00795
1.4	25.2	0.0122	0.00590	0.00132	0.003320	0.00848
1.5	31.7	0.0127	0.00590	0.00132	0.003320	0.00849
1.6	39.9	0.0157	0.00590	0.00131	0.003340	0.00846
1.7	50.2	0.0250	0.00590	0.00134	0.003270	0.00854
1.8	63.2	0.0358	0.00590	0.00139	0.003180	0.00863
1.9	79.6	0.0366	0.00590	0.00136	0.003240	0.00857
2.0	100.0	0.0381	0.00590	0.00137	0.003220	0.00858
2.1	126.0	0.0384	0.00586	0.00134	0.003250	0.00848
2.2	159.0	0.0444	0.00586	0.00132	0.003270	0.00846
2.3	200.0	0.0485	0.00586	0.00132	0.003270	0.00845
2.4	252.0	0.0591	0.00586	0.00135	0.003220	0.00851
2.5	317.0	0.0796	0.00586	0.00135	0.003210	0.00852
2.6	399.0	0.0836	0.00586	0.00136	0.003190	0.00854
2.7	502.0	0.1010	0.00586	0.00140	0.003120	0.00860
2.8	632.0	0.1150	0.00586	0.00142	0.003080	0.00865
2.9	796.0	0.1480	0.00586	0.00146	0.003010	0.00872
3.0	1000.0	0.1530	0.00586	0.00146	0.003000	0.00872
3.1	1260.0	0.1600	0.00569	0.00143	0.002900	0.00849
3.2	1590.0	0.1920	0.00560	0.00144	0.002780	0.00843
3.3	2000.0	0.2470	0.00560	0.00148	0.002710	0.00849
3.4	2520.0	0.3050	0.00463	0.00140	0.001900	0.00737
3.5	3170.0	0.3660	0.00421	0.00137	0.001530	0.00689
3.6	3990.0	0.4640	0.00418	0.00141	0.001410	0.00694
3.7	5020.0	0.5600	0.00355	0.00146	0.000700	0.00641
3.8	6320.0	0.6650	0.00266	0.00144	-0.000171	0.00549

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.346	0.139	0.073800	0.617
1.4	25.2	0.346	0.175	0.003240	0.688
1.5	31.7	0.346	0.175	0.002810	0.688
1.6	39.9	0.346	0.173	0.006070	0.685
1.7	50.2	0.346	0.178	-0.003640	0.695
1.8	63.2	0.346	0.184	-0.015900	0.707
1.9	79.6	0.346	0.180	-0.007740	0.699
2.0	100.0	0.346	0.181	-0.009530	0.701
2.1	126.0	0.350	0.177	0.003560	0.696
2.2	159.0	0.350	0.175	0.006870	0.693
2.3	200.0	0.350	0.175	0.007390	0.692
2.4	252.0	0.350	0.178	0.000296	0.699
2.5	317.0	0.350	0.179	-0.001140	0.701
2.6	399.0	0.350	0.180	-0.003910	0.703
2.7	502.0	0.350	0.185	-0.012800	0.712
2.8	632.0	0.350	0.188	-0.018600	0.718
2.9	796.0	0.350	0.193	-0.028200	0.728
3.0	1000.0	0.350	0.193	-0.028600	0.728
3.1	1260.0	0.369	0.187	0.001840	0.735
3.2	1590.0	0.379	0.188	0.009830	0.748
3.3	2000.0	0.379	0.193	0.001140	0.756
3.4	2520.0	0.486	0.174	0.145000	0.827
3.5	3170.0	0.533	0.167	0.205000	0.861
3.6	3990.0	0.537	0.172	0.199000	0.875
3.7	5020.0	0.606	0.174	0.266000	0.946
3.8	6320.0	0.705	0.167	0.378000	1.030

Placebo

Not monotone

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.00902	0.001390	0.006290	0.01170
1.4	25.2	0.00858	0.001820	0.005010	0.01210
1.5	31.7	0.00848	0.001850	0.004840	0.01210
1.6	39.9	0.00683	0.001680	0.003530	0.01010
1.7	50.2	0.00521	0.001500	0.002260	0.00815
1.8	63.2	0.00470	0.001470	0.001830	0.00758
1.9	79.6	0.00445	0.001390	0.001720	0.00718
2.0	100.0	0.00405	0.001330	0.001450	0.00666
2.1	126.0	0.00425	0.001420	0.001470	0.00703
2.2	159.0	0.00395	0.001390	0.001220	0.00668
2.3	200.0	0.00355	0.001320	0.000956	0.00614
2.4	252.0	0.00307	0.001350	0.000429	0.00571
2.5	317.0	0.00262	0.001260	0.000159	0.00508
2.6	399.0	0.00156	0.000900	-0.000208	0.00332
2.7	502.0	0.00163	0.000944	-0.000217	0.00348

Monotone

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
1.3	20.0	0.000	0.00902	0.001390	0.006290	0.01170
1.4	25.2	0.105	0.00858	0.001820	0.005010	0.01210
1.5	31.7	0.157	0.00848	0.001850	0.004840	0.01210
1.6	39.9	0.184	0.00683	0.001680	0.003530	0.01010
1.7	50.2	0.254	0.00521	0.001500	0.002260	0.00815
1.8	63.2	0.269	0.00470	0.001470	0.001830	0.00758
1.9	79.6	0.311	0.00445	0.001390	0.001720	0.00718
2.0	100.0	0.327	0.00415	0.001330	0.001550	0.00676
2.1	126.0	0.371	0.00415	0.001420	0.001370	0.00693
2.2	159.0	0.383	0.00395	0.001390	0.001220	0.00668
2.3	200.0	0.386	0.00355	0.001320	0.000956	0.00614
2.4	252.0	0.424	0.00307	0.001350	0.000429	0.00571
2.5	317.0	0.439	0.00262	0.001260	0.000159	0.00508
2.6	399.0	0.476	0.00159	0.000900	-0.000169	0.00336
2.7	502.0	0.507	0.00159	0.000944	-0.000256	0.00344

Vaccine (change)

Unscaled (not monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.0200	0.0955	0.00522	0.00105	0.00317	0.00727
-0.9200	0.1200	0.00582	0.00127	0.00334	0.00830
-0.8200	0.1510	0.00586	0.00128	0.00335	0.00837
-0.7200	0.1900	0.00589	0.00128	0.00337	0.00840
-0.6200	0.2400	0.00592	0.00129	0.00338	0.00846
-0.5200	0.3020	0.00593	0.00129	0.00340	0.00846
-0.4200	0.3800	0.00594	0.00129	0.00340	0.00847
-0.3200	0.4780	0.00594	0.00129	0.00340	0.00848
-0.2200	0.6020	0.00595	0.00130	0.00341	0.00849
-0.1200	0.7580	0.00596	0.00130	0.00341	0.00850
-0.0202	0.9550	0.00602	0.00132	0.00345	0.00860
0.0798	1.2000	0.00608	0.00137	0.00340	0.00876
0.1800	1.5100	0.00589	0.00135	0.00325	0.00853
0.2800	1.9000	0.00600	0.00138	0.00330	0.00870
0.3800	2.4000	0.00630	0.00147	0.00343	0.00918
0.4800	3.0200	0.00623	0.00151	0.00327	0.00918
0.5800	3.8000	0.00602	0.00148	0.00311	0.00893
0.6800	4.7800	0.00580	0.00145	0.00295	0.00865
0.7800	6.0200	0.00555	0.00142	0.00276	0.00834
0.8800	7.5800	0.00563	0.00145	0.00280	0.00846
0.9800	9.5500	0.00603	0.00157	0.00296	0.00910
1.0800	12.0000	0.00558	0.00153	0.00259	0.00857
1.1800	15.1000	0.00594	0.00162	0.00276	0.00913
1.2800	19.0000	0.00526	0.00158	0.00217	0.00836
1.3800	24.0000	0.00543	0.00165	0.00221	0.00866
1.4800	30.2000	0.00560	0.00178	0.00211	0.00909
1.5800	38.0000	0.00585	0.00189	0.00215	0.00956
1.6800	47.8000	0.00601	0.00205	0.00200	0.01000
1.7800	60.2000	0.00713	0.00239	0.00245	0.01180
1.8800	75.8000	0.00745	0.00253	0.00248	0.01240
1.9800	95.5000	0.00673	0.00254	0.00175	0.01170
2.0800	120.0000	0.00575	0.00249	0.00087	0.01060
2.1800	151.0000	0.00342	0.00240	-0.00127	0.00812

Unscaled (monotone)

Threshold (log10)	Threshold	RCDF	Estimate	SE	Lower CI	Upper CI
-1.0200	0.0955	0.00000	0.00593	0.00105	0.003890	0.00798
-0.9200	0.1200	0.00601	0.00593	0.00127	0.003450	0.00842
-0.8200	0.1510	0.01010	0.00593	0.00128	0.003430	0.00844
-0.7200	0.1900	0.01420	0.00593	0.00128	0.003420	0.00845
-0.6200	0.2400	0.01720	0.00593	0.00129	0.003400	0.00847
-0.5200	0.3020	0.02410	0.00593	0.00129	0.003400	0.00847
-0.4200	0.3800	0.02710	0.00593	0.00129	0.003400	0.00847
-0.3200	0.4780	0.02740	0.00593	0.00129	0.003400	0.00847
-0.2200	0.6020	0.03040	0.00593	0.00130	0.003390	0.00848
-0.1200	0.7580	0.03360	0.00593	0.00130	0.003390	0.00848
-0.0202	0.9550	0.04650	0.00593	0.00132	0.003360	0.00851
0.0798	1.2000	0.07080	0.00593	0.00137	0.003250	0.00862
0.1800	1.5100	0.08850	0.00593	0.00135	0.003300	0.00857
0.2800	1.9000	0.11300	0.00593	0.00138	0.003240	0.00863
0.3800	2.4000	0.15700	0.00593	0.00147	0.003060	0.00881
0.4800	3.0200	0.17600	0.00593	0.00151	0.002980	0.00889
0.5800	3.8000	0.19100	0.00593	0.00148	0.003030	0.00884
0.6800	4.7800	0.21700	0.00590	0.00145	0.003050	0.00875
0.7800	6.0200	0.23400	0.00590	0.00142	0.003110	0.00868
0.8800	7.5800	0.24900	0.00590	0.00145	0.003060	0.00873
0.9800	9.5500	0.27600	0.00590	0.00157	0.002830	0.00897
1.0800	12.0000	0.31500	0.00590	0.00153	0.002900	0.00889
1.1800	15.1000	0.34800	0.00590	0.00162	0.002710	0.00908
1.2800	19.0000	0.38100	0.00590	0.00158	0.002800	0.00899
1.3800	24.0000	0.40500	0.00590	0.00165	0.002670	0.00912
1.4800	30.2000	0.46200	0.00590	0.00178	0.002410	0.00938
1.5800	38.0000	0.49600	0.00590	0.00189	0.002190	0.00960
1.6800	47.8000	0.55300	0.00590	0.00205	0.001890	0.00991
1.7800	60.2000	0.61100	0.00590	0.00239	0.001220	0.01060
1.8800	75.8000	0.63500	0.00590	0.00253	0.000934	0.01090
1.9800	95.5000	0.66500	0.00590	0.00254	0.000920	0.01090
2.0800	120.0000	0.69400	0.00575	0.00249	0.000870	0.01060
2.1800	151.0000	0.80000	0.00342	0.00240	-0.001270	0.00812

VE scale (1 minus risk / placebo risk) (monotone)

Threshold (log10)	Threshold	Estimate	SE	Lower CI	Upper CI
-1.0200	0.0955	0.342	0.139	0.069700	0.614
-0.9200	0.1200	0.342	0.168	0.012400	0.671
-0.8200	0.1510	0.342	0.170	0.008730	0.675
-0.7200	0.1900	0.342	0.170	0.007810	0.676
-0.6200	0.2400	0.342	0.172	0.004890	0.679
-0.5200	0.3020	0.342	0.172	0.005410	0.678
-0.4200	0.3800	0.342	0.172	0.004990	0.679
-0.3200	0.4780	0.342	0.172	0.004890	0.679
-0.2200	0.6020	0.342	0.172	0.004510	0.679
-0.1200	0.7580	0.342	0.172	0.004000	0.680
-0.0202	0.9550	0.342	0.175	-0.000417	0.684
0.0798	1.2000	0.342	0.182	-0.014100	0.698
0.1800	1.5100	0.342	0.179	-0.008640	0.692
0.2800	1.9000	0.342	0.183	-0.016200	0.700
0.3800	2.4000	0.342	0.195	-0.040000	0.724
0.4800	3.0200	0.342	0.200	-0.050200	0.734
0.5800	3.8000	0.342	0.197	-0.044400	0.728
0.6800	4.7800	0.346	0.193	-0.031600	0.724
0.7800	6.0200	0.346	0.188	-0.023300	0.715
0.8800	7.5800	0.346	0.192	-0.029300	0.721
0.9800	9.5500	0.346	0.207	-0.060600	0.753
1.0800	12.0000	0.346	0.202	-0.050700	0.743
1.1800	15.1000	0.346	0.215	-0.075600	0.768
1.2800	19.0000	0.346	0.209	-0.064500	0.757
1.3800	24.0000	0.346	0.218	-0.081300	0.773
1.4800	30.2000	0.346	0.236	-0.116000	0.808
1.5800	38.0000	0.346	0.251	-0.145000	0.837
1.6800	47.8000	0.346	0.271	-0.185000	0.877
1.7800	60.2000	0.346	0.316	-0.274000	0.966
1.8800	75.8000	0.346	0.336	-0.312000	1.000
1.9800	95.5000	0.346	0.336	-0.313000	1.010
2.0800	120.0000	0.362	0.327	-0.279000	1.000
2.1800	151.0000	0.620	0.284	0.063300	1.180